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Finding the Third Proportional to 84,580 and 200,374

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Solution

The third proportional to 84,580 and 200,374 is: 474,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580 : 200,374 = 200,374 : x
  2. Step 2: Convert to fraction form
    84,580/200,374 = 200,374/x
  3. Step 3: Cross multiply
    84,580x = 200,374 × 200,374
  4. Step 4: Simplify right side
    84,580x = 40,149,739,876
  5. Step 5: Solve for x
    x = 40,149,739,876/84,580
  6. Step 6: Final answer
    x = 474,695.43

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.