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Finding the Third Proportional to 83,464 and 180,512

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Solution

The third proportional to 83,464 and 180,512 is: 390,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,464 : 180,512 = 180,512 : x
  2. Step 2: Convert to fraction form
    83,464/180,512 = 180,512/x
  3. Step 3: Cross multiply
    83,464x = 180,512 × 180,512
  4. Step 4: Simplify right side
    83,464x = 32,584,582,144
  5. Step 5: Solve for x
    x = 32,584,582,144/83,464
  6. Step 6: Final answer
    x = 390,402.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.