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Finding the Third Proportional to 159,624 and 232,416

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Solution

The third proportional to 159,624 and 232,416 is: 338,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,624 : 232,416 = 232,416 : x
  2. Step 2: Convert to fraction form
    159,624/232,416 = 232,416/x
  3. Step 3: Cross multiply
    159,624x = 232,416 × 232,416
  4. Step 4: Simplify right side
    159,624x = 54,017,197,056
  5. Step 5: Solve for x
    x = 54,017,197,056/159,624
  6. Step 6: Final answer
    x = 338,402.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.