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Finding the Third Proportional to 113,397 and 247,517

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Solution

The third proportional to 113,397 and 247,517 is: 540,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,397 : 247,517 = 247,517 : x
  2. Step 2: Convert to fraction form
    113,397/247,517 = 247,517/x
  3. Step 3: Cross multiply
    113,397x = 247,517 × 247,517
  4. Step 4: Simplify right side
    113,397x = 61,264,665,289
  5. Step 5: Solve for x
    x = 61,264,665,289/113,397
  6. Step 6: Final answer
    x = 540,267.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.