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Finding the Third Proportional to 84,486 and 181,452

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Solution

The third proportional to 84,486 and 181,452 is: 389,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,486 : 181,452 = 181,452 : x
  2. Step 2: Convert to fraction form
    84,486/181,452 = 181,452/x
  3. Step 3: Cross multiply
    84,486x = 181,452 × 181,452
  4. Step 4: Simplify right side
    84,486x = 32,924,828,304
  5. Step 5: Solve for x
    x = 32,924,828,304/84,486
  6. Step 6: Final answer
    x = 389,707.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.