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Finding the Third Proportional to 181,669.50 and 272,565

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Solution

The third proportional to 181,669.50 and 272,565 is: 408,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,669.50 : 272,565 = 272,565 : x
  2. Step 2: Convert to fraction form
    181,669.50/272,565 = 272,565/x
  3. Step 3: Cross multiply
    181,669.50x = 272,565 × 272,565
  4. Step 4: Simplify right side
    181,669.50x = 74,291,679,225
  5. Step 5: Solve for x
    x = 74,291,679,225/181,669.50
  6. Step 6: Final answer
    x = 408,938.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.