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Finding the Third Proportional to 174,856 and 261,432

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Solution

The third proportional to 174,856 and 261,432 is: 390,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,856 : 261,432 = 261,432 : x
  2. Step 2: Convert to fraction form
    174,856/261,432 = 261,432/x
  3. Step 3: Cross multiply
    174,856x = 261,432 × 261,432
  4. Step 4: Simplify right side
    174,856x = 68,346,690,624
  5. Step 5: Solve for x
    x = 68,346,690,624/174,856
  6. Step 6: Final answer
    x = 390,874.15

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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.