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Finding the Third Proportional to 171,727.50 and 252,622.13

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Solution

The third proportional to 171,727.50 and 252,622.13 is: 371,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,727.50 : 252,622.13 = 252,622.13 : x
  2. Step 2: Convert to fraction form
    171,727.50/252,622.13 = 252,622.13/x
  3. Step 3: Cross multiply
    171,727.50x = 252,622.13 × 252,622.13
  4. Step 4: Simplify right side
    171,727.50x = 63,817,938,039.52
  5. Step 5: Solve for x
    x = 63,817,938,039.52/171,727.50
  6. Step 6: Final answer
    x = 371,623.29

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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.