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Finding the Third Proportional to 116,373 and 250,565

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Solution

The third proportional to 116,373 and 250,565 is: 539,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,373 : 250,565 = 250,565 : x
  2. Step 2: Convert to fraction form
    116,373/250,565 = 250,565/x
  3. Step 3: Cross multiply
    116,373x = 250,565 × 250,565
  4. Step 4: Simplify right side
    116,373x = 62,782,819,225
  5. Step 5: Solve for x
    x = 62,782,819,225/116,373
  6. Step 6: Final answer
    x = 539,496.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.