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Finding the Third Proportional to 84,712 and 180,380

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Solution

The third proportional to 84,712 and 180,380 is: 384,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,712 : 180,380 = 180,380 : x
  2. Step 2: Convert to fraction form
    84,712/180,380 = 180,380/x
  3. Step 3: Cross multiply
    84,712x = 180,380 × 180,380
  4. Step 4: Simplify right side
    84,712x = 32,536,944,400
  5. Step 5: Solve for x
    x = 32,536,944,400/84,712
  6. Step 6: Final answer
    x = 384,088.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.