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Finding the Third Proportional to 113,414 and 247,581

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Solution

The third proportional to 113,414 and 247,581 is: 540,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,414 : 247,581 = 247,581 : x
  2. Step 2: Convert to fraction form
    113,414/247,581 = 247,581/x
  3. Step 3: Cross multiply
    113,414x = 247,581 × 247,581
  4. Step 4: Simplify right side
    113,414x = 61,296,351,561
  5. Step 5: Solve for x
    x = 61,296,351,561/113,414
  6. Step 6: Final answer
    x = 540,465.48

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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.