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Finding the Third Proportional to 116,754 and 256,836

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Solution

The third proportional to 116,754 and 256,836 is: 564,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,754 : 256,836 = 256,836 : x
  2. Step 2: Convert to fraction form
    116,754/256,836 = 256,836/x
  3. Step 3: Cross multiply
    116,754x = 256,836 × 256,836
  4. Step 4: Simplify right side
    116,754x = 65,964,730,896
  5. Step 5: Solve for x
    x = 65,964,730,896/116,754
  6. Step 6: Final answer
    x = 564,989.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.