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Finding the Third Proportional to 171,085.50 and 255,226.50

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Solution

The third proportional to 171,085.50 and 255,226.50 is: 380,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,085.50 : 255,226.50 = 255,226.50 : x
  2. Step 2: Convert to fraction form
    171,085.50/255,226.50 = 255,226.50/x
  3. Step 3: Cross multiply
    171,085.50x = 255,226.50 × 255,226.50
  4. Step 4: Simplify right side
    171,085.50x = 65,140,566,302.25
  5. Step 5: Solve for x
    x = 65,140,566,302.25/171,085.50
  6. Step 6: Final answer
    x = 380,748.61

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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.