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Finding the Third Proportional to 135,592.13 and 282,407

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Solution

The third proportional to 135,592.13 and 282,407 is: 588,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,592.13 : 282,407 = 282,407 : x
  2. Step 2: Convert to fraction form
    135,592.13/282,407 = 282,407/x
  3. Step 3: Cross multiply
    135,592.13x = 282,407 × 282,407
  4. Step 4: Simplify right side
    135,592.13x = 79,753,713,649
  5. Step 5: Solve for x
    x = 79,753,713,649/135,592.13
  6. Step 6: Final answer
    x = 588,188.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.