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Finding the Third Proportional to 232,282 and 351,630

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Solution

The third proportional to 232,282 and 351,630 is: 532,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,282 : 351,630 = 351,630 : x
  2. Step 2: Convert to fraction form
    232,282/351,630 = 351,630/x
  3. Step 3: Cross multiply
    232,282x = 351,630 × 351,630
  4. Step 4: Simplify right side
    232,282x = 123,643,656,900
  5. Step 5: Solve for x
    x = 123,643,656,900/232,282
  6. Step 6: Final answer
    x = 532,299.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.