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Finding the Third Proportional to 232,704 and 353,376

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Solution

The third proportional to 232,704 and 353,376 is: 536,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 353,376 = 353,376 : x
  2. Step 2: Convert to fraction form
    232,704/353,376 = 353,376/x
  3. Step 3: Cross multiply
    232,704x = 353,376 × 353,376
  4. Step 4: Simplify right side
    232,704x = 124,874,597,376
  5. Step 5: Solve for x
    x = 124,874,597,376/232,704
  6. Step 6: Final answer
    x = 536,624.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.