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Finding the Third Proportional to 84,299 and 180,625

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Solution

The third proportional to 84,299 and 180,625 is: 387,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,299 : 180,625 = 180,625 : x
  2. Step 2: Convert to fraction form
    84,299/180,625 = 180,625/x
  3. Step 3: Cross multiply
    84,299x = 180,625 × 180,625
  4. Step 4: Simplify right side
    84,299x = 32,625,390,625
  5. Step 5: Solve for x
    x = 32,625,390,625/84,299
  6. Step 6: Final answer
    x = 387,019.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.