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Finding the Third Proportional to 131,294.25 and 286,351.88

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Solution

The third proportional to 131,294.25 and 286,351.88 is: 624,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294.25 : 286,351.88 = 286,351.88 : x
  2. Step 2: Convert to fraction form
    131,294.25/286,351.88 = 286,351.88/x
  3. Step 3: Cross multiply
    131,294.25x = 286,351.88 × 286,351.88
  4. Step 4: Simplify right side
    131,294.25x = 81,997,396,316.02
  5. Step 5: Solve for x
    x = 81,997,396,316.02/131,294.25
  6. Step 6: Final answer
    x = 624,531.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.