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Finding the Third Proportional to 109,597 and 239,484

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Solution

The third proportional to 109,597 and 239,484 is: 523,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,597 : 239,484 = 239,484 : x
  2. Step 2: Convert to fraction form
    109,597/239,484 = 239,484/x
  3. Step 3: Cross multiply
    109,597x = 239,484 × 239,484
  4. Step 4: Simplify right side
    109,597x = 57,352,586,256
  5. Step 5: Solve for x
    x = 57,352,586,256/109,597
  6. Step 6: Final answer
    x = 523,304.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.