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Finding the Third Proportional to 85,060 and 198,674

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Solution

The third proportional to 85,060 and 198,674 is: 464,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,060 : 198,674 = 198,674 : x
  2. Step 2: Convert to fraction form
    85,060/198,674 = 198,674/x
  3. Step 3: Cross multiply
    85,060x = 198,674 × 198,674
  4. Step 4: Simplify right side
    85,060x = 39,471,358,276
  5. Step 5: Solve for x
    x = 39,471,358,276/85,060
  6. Step 6: Final answer
    x = 464,041.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.