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Finding the Third Proportional to 84,296.25 and 180,549

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Solution

The third proportional to 84,296.25 and 180,549 is: 386,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296.25 : 180,549 = 180,549 : x
  2. Step 2: Convert to fraction form
    84,296.25/180,549 = 180,549/x
  3. Step 3: Cross multiply
    84,296.25x = 180,549 × 180,549
  4. Step 4: Simplify right side
    84,296.25x = 32,597,941,401
  5. Step 5: Solve for x
    x = 32,597,941,401/84,296.25
  6. Step 6: Final answer
    x = 386,706.90

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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.