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Finding the Third Proportional to 116,782 and 255,376

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Solution

The third proportional to 116,782 and 255,376 is: 558,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,782 : 255,376 = 255,376 : x
  2. Step 2: Convert to fraction form
    116,782/255,376 = 255,376/x
  3. Step 3: Cross multiply
    116,782x = 255,376 × 255,376
  4. Step 4: Simplify right side
    116,782x = 65,216,901,376
  5. Step 5: Solve for x
    x = 65,216,901,376/116,782
  6. Step 6: Final answer
    x = 558,449.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.