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Finding the Third Proportional to 158,001 and 223,566

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Solution

The third proportional to 158,001 and 223,566 is: 316,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,001 : 223,566 = 223,566 : x
  2. Step 2: Convert to fraction form
    158,001/223,566 = 223,566/x
  3. Step 3: Cross multiply
    158,001x = 223,566 × 223,566
  4. Step 4: Simplify right side
    158,001x = 49,981,756,356
  5. Step 5: Solve for x
    x = 49,981,756,356/158,001
  6. Step 6: Final answer
    x = 316,338.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.