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Finding the Third Proportional to 136,524 and 282,456

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Solution

The third proportional to 136,524 and 282,456 is: 584,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,524 : 282,456 = 282,456 : x
  2. Step 2: Convert to fraction form
    136,524/282,456 = 282,456/x
  3. Step 3: Cross multiply
    136,524x = 282,456 × 282,456
  4. Step 4: Simplify right side
    136,524x = 79,781,391,936
  5. Step 5: Solve for x
    x = 79,781,391,936/136,524
  6. Step 6: Final answer
    x = 584,376.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.