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Finding the Third Proportional to 177,229.50 and 272,412

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Solution

The third proportional to 177,229.50 and 272,412 is: 418,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,229.50 : 272,412 = 272,412 : x
  2. Step 2: Convert to fraction form
    177,229.50/272,412 = 272,412/x
  3. Step 3: Cross multiply
    177,229.50x = 272,412 × 272,412
  4. Step 4: Simplify right side
    177,229.50x = 74,208,297,744
  5. Step 5: Solve for x
    x = 74,208,297,744/177,229.50
  6. Step 6: Final answer
    x = 418,713.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.