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Finding the Third Proportional to 223,940 and 329,376

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Solution

The third proportional to 223,940 and 329,376 is: 484,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,940 : 329,376 = 329,376 : x
  2. Step 2: Convert to fraction form
    223,940/329,376 = 329,376/x
  3. Step 3: Cross multiply
    223,940x = 329,376 × 329,376
  4. Step 4: Simplify right side
    223,940x = 108,488,549,376
  5. Step 5: Solve for x
    x = 108,488,549,376/223,940
  6. Step 6: Final answer
    x = 484,453.65

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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.