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Finding the Third Proportional to 133,098 and 292,974

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Solution

The third proportional to 133,098 and 292,974 is: 644,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 292,974 = 292,974 : x
  2. Step 2: Convert to fraction form
    133,098/292,974 = 292,974/x
  3. Step 3: Cross multiply
    133,098x = 292,974 × 292,974
  4. Step 4: Simplify right side
    133,098x = 85,833,764,676
  5. Step 5: Solve for x
    x = 85,833,764,676/133,098
  6. Step 6: Final answer
    x = 644,891.47

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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.