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Finding the Third Proportional to 117,732 and 261,617

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Solution

The third proportional to 117,732 and 261,617 is: 581,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,732 : 261,617 = 261,617 : x
  2. Step 2: Convert to fraction form
    117,732/261,617 = 261,617/x
  3. Step 3: Cross multiply
    117,732x = 261,617 × 261,617
  4. Step 4: Simplify right side
    117,732x = 68,443,454,689
  5. Step 5: Solve for x
    x = 68,443,454,689/117,732
  6. Step 6: Final answer
    x = 581,349.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.