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Finding the Third Proportional to 223,938 and 329,373

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Solution

The third proportional to 223,938 and 329,373 is: 484,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,938 : 329,373 = 329,373 : x
  2. Step 2: Convert to fraction form
    223,938/329,373 = 329,373/x
  3. Step 3: Cross multiply
    223,938x = 329,373 × 329,373
  4. Step 4: Simplify right side
    223,938x = 108,486,573,129
  5. Step 5: Solve for x
    x = 108,486,573,129/223,938
  6. Step 6: Final answer
    x = 484,449.15

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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.