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Finding the Third Proportional to 181,437.75 and 288,244.13

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Solution

The third proportional to 181,437.75 and 288,244.13 is: 457,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,437.75 : 288,244.13 = 288,244.13 : x
  2. Step 2: Convert to fraction form
    181,437.75/288,244.13 = 288,244.13/x
  3. Step 3: Cross multiply
    181,437.75x = 288,244.13 × 288,244.13
  4. Step 4: Simplify right side
    181,437.75x = 83,084,675,597.02
  5. Step 5: Solve for x
    x = 83,084,675,597.02/181,437.75
  6. Step 6: Final answer
    x = 457,923.86

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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.