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Finding the Third Proportional to 181,395 and 272,788.50

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Solution

The third proportional to 181,395 and 272,788.50 is: 410,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,395 : 272,788.50 = 272,788.50 : x
  2. Step 2: Convert to fraction form
    181,395/272,788.50 = 272,788.50/x
  3. Step 3: Cross multiply
    181,395x = 272,788.50 × 272,788.50
  4. Step 4: Simplify right side
    181,395x = 74,413,565,732.25
  5. Step 5: Solve for x
    x = 74,413,565,732.25/181,395
  6. Step 6: Final answer
    x = 410,229.42

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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.