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Finding the Third Proportional to 174,416 and 261,624

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Solution

The third proportional to 174,416 and 261,624 is: 392,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,416 : 261,624 = 261,624 : x
  2. Step 2: Convert to fraction form
    174,416/261,624 = 261,624/x
  3. Step 3: Cross multiply
    174,416x = 261,624 × 261,624
  4. Step 4: Simplify right side
    174,416x = 68,447,117,376
  5. Step 5: Solve for x
    x = 68,447,117,376/174,416
  6. Step 6: Final answer
    x = 392,436

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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.