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Finding the Third Proportional to 161,866.13 and 239,658.75

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Solution

The third proportional to 161,866.13 and 239,658.75 is: 354,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,866.13 : 239,658.75 = 239,658.75 : x
  2. Step 2: Convert to fraction form
    161,866.13/239,658.75 = 239,658.75/x
  3. Step 3: Cross multiply
    161,866.13x = 239,658.75 × 239,658.75
  4. Step 4: Simplify right side
    161,866.13x = 57,436,316,451.56
  5. Step 5: Solve for x
    x = 57,436,316,451.56/161,866.13
  6. Step 6: Final answer
    x = 354,838.40

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.