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Finding the Third Proportional to 138,962.25 and 282,845.25

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Solution

The third proportional to 138,962.25 and 282,845.25 is: 575,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,962.25 : 282,845.25 = 282,845.25 : x
  2. Step 2: Convert to fraction form
    138,962.25/282,845.25 = 282,845.25/x
  3. Step 3: Cross multiply
    138,962.25x = 282,845.25 × 282,845.25
  4. Step 4: Simplify right side
    138,962.25x = 80,001,435,447.56
  5. Step 5: Solve for x
    x = 80,001,435,447.56/138,962.25
  6. Step 6: Final answer
    x = 575,706.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.