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Finding the Third Proportional to 113,384 and 247,491

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Solution

The third proportional to 113,384 and 247,491 is: 540,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,384 : 247,491 = 247,491 : x
  2. Step 2: Convert to fraction form
    113,384/247,491 = 247,491/x
  3. Step 3: Cross multiply
    113,384x = 247,491 × 247,491
  4. Step 4: Simplify right side
    113,384x = 61,251,795,081
  5. Step 5: Solve for x
    x = 61,251,795,081/113,384
  6. Step 6: Final answer
    x = 540,215.51

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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.