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Finding the Third Proportional to 181,441.13 and 288,248.06

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Solution

The third proportional to 181,441.13 and 288,248.06 is: 457,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,441.13 : 288,248.06 = 288,248.06 : x
  2. Step 2: Convert to fraction form
    181,441.13/288,248.06 = 288,248.06/x
  3. Step 3: Cross multiply
    181,441.13x = 288,248.06 × 288,248.06
  4. Step 4: Simplify right side
    181,441.13x = 83,086,945,535.00
  5. Step 5: Solve for x
    x = 83,086,945,535.00/181,441.13
  6. Step 6: Final answer
    x = 457,927.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.