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Finding the Third Proportional to 110,413 and 239,497

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Solution

The third proportional to 110,413 and 239,497 is: 519,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413 : 239,497 = 239,497 : x
  2. Step 2: Convert to fraction form
    110,413/239,497 = 239,497/x
  3. Step 3: Cross multiply
    110,413x = 239,497 × 239,497
  4. Step 4: Simplify right side
    110,413x = 57,358,813,009
  5. Step 5: Solve for x
    x = 57,358,813,009/110,413
  6. Step 6: Final answer
    x = 519,493.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.