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Finding the Third Proportional to 223,792 and 323,656

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Solution

The third proportional to 223,792 and 323,656 is: 468,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,792 : 323,656 = 323,656 : x
  2. Step 2: Convert to fraction form
    223,792/323,656 = 323,656/x
  3. Step 3: Cross multiply
    223,792x = 323,656 × 323,656
  4. Step 4: Simplify right side
    223,792x = 104,753,206,336
  5. Step 5: Solve for x
    x = 104,753,206,336/223,792
  6. Step 6: Final answer
    x = 468,082.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.