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Finding the Third Proportional to 177,192.56 and 272,349.84

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Solution

The third proportional to 177,192.56 and 272,349.84 is: 418,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,192.56 : 272,349.84 = 272,349.84 : x
  2. Step 2: Convert to fraction form
    177,192.56/272,349.84 = 272,349.84/x
  3. Step 3: Cross multiply
    177,192.56x = 272,349.84 × 272,349.84
  4. Step 4: Simplify right side
    177,192.56x = 74,174,437,390.65
  5. Step 5: Solve for x
    x = 74,174,437,390.65/177,192.56
  6. Step 6: Final answer
    x = 418,609.20

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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.