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Finding the Third Proportional to 181,348 and 272,180

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Solution

The third proportional to 181,348 and 272,180 is: 408,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,348 : 272,180 = 272,180 : x
  2. Step 2: Convert to fraction form
    181,348/272,180 = 272,180/x
  3. Step 3: Cross multiply
    181,348x = 272,180 × 272,180
  4. Step 4: Simplify right side
    181,348x = 74,081,952,400
  5. Step 5: Solve for x
    x = 74,081,952,400/181,348
  6. Step 6: Final answer
    x = 408,507.14

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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.