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Finding the Third Proportional to 83,272 and 180,360

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Solution

The third proportional to 83,272 and 180,360 is: 390,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272 : 180,360 = 180,360 : x
  2. Step 2: Convert to fraction form
    83,272/180,360 = 180,360/x
  3. Step 3: Cross multiply
    83,272x = 180,360 × 180,360
  4. Step 4: Simplify right side
    83,272x = 32,529,729,600
  5. Step 5: Solve for x
    x = 32,529,729,600/83,272
  6. Step 6: Final answer
    x = 390,644.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.