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Finding the Third Proportional to 171,000.75 and 255,543.75

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Solution

The third proportional to 171,000.75 and 255,543.75 is: 381,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,000.75 : 255,543.75 = 255,543.75 : x
  2. Step 2: Convert to fraction form
    171,000.75/255,543.75 = 255,543.75/x
  3. Step 3: Cross multiply
    171,000.75x = 255,543.75 × 255,543.75
  4. Step 4: Simplify right side
    171,000.75x = 65,302,608,164.06
  5. Step 5: Solve for x
    x = 65,302,608,164.06/171,000.75
  6. Step 6: Final answer
    x = 381,884.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.