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Finding the Third Proportional to 116,829 and 255,282

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Solution

The third proportional to 116,829 and 255,282 is: 557,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829 : 255,282 = 255,282 : x
  2. Step 2: Convert to fraction form
    116,829/255,282 = 255,282/x
  3. Step 3: Cross multiply
    116,829x = 255,282 × 255,282
  4. Step 4: Simplify right side
    116,829x = 65,168,899,524
  5. Step 5: Solve for x
    x = 65,168,899,524/116,829
  6. Step 6: Final answer
    x = 557,814.41

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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.