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Finding the Third Proportional to 174,219.50 and 255,571

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Solution

The third proportional to 174,219.50 and 255,571 is: 374,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,219.50 : 255,571 = 255,571 : x
  2. Step 2: Convert to fraction form
    174,219.50/255,571 = 255,571/x
  3. Step 3: Cross multiply
    174,219.50x = 255,571 × 255,571
  4. Step 4: Simplify right side
    174,219.50x = 65,316,536,041
  5. Step 5: Solve for x
    x = 65,316,536,041/174,219.50
  6. Step 6: Final answer
    x = 374,909.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.