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Finding the Third Proportional to 118,304 and 256,282

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Solution

The third proportional to 118,304 and 256,282 is: 555,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,304 : 256,282 = 256,282 : x
  2. Step 2: Convert to fraction form
    118,304/256,282 = 256,282/x
  3. Step 3: Cross multiply
    118,304x = 256,282 × 256,282
  4. Step 4: Simplify right side
    118,304x = 65,680,463,524
  5. Step 5: Solve for x
    x = 65,680,463,524/118,304
  6. Step 6: Final answer
    x = 555,183.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.