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Finding the Third Proportional to 232,882 and 341,656

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Solution

The third proportional to 232,882 and 341,656 is: 501,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,882 : 341,656 = 341,656 : x
  2. Step 2: Convert to fraction form
    232,882/341,656 = 341,656/x
  3. Step 3: Cross multiply
    232,882x = 341,656 × 341,656
  4. Step 4: Simplify right side
    232,882x = 116,728,822,336
  5. Step 5: Solve for x
    x = 116,728,822,336/232,882
  6. Step 6: Final answer
    x = 501,235.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.