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Finding the Third Proportional to 84,492 and 185,508

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Solution

The third proportional to 84,492 and 185,508 is: 407,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,492 : 185,508 = 185,508 : x
  2. Step 2: Convert to fraction form
    84,492/185,508 = 185,508/x
  3. Step 3: Cross multiply
    84,492x = 185,508 × 185,508
  4. Step 4: Simplify right side
    84,492x = 34,413,218,064
  5. Step 5: Solve for x
    x = 34,413,218,064/84,492
  6. Step 6: Final answer
    x = 407,295.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.