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Finding the Third Proportional to 133,162 and 292,188

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Solution

The third proportional to 133,162 and 292,188 is: 641,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,162 : 292,188 = 292,188 : x
  2. Step 2: Convert to fraction form
    133,162/292,188 = 292,188/x
  3. Step 3: Cross multiply
    133,162x = 292,188 × 292,188
  4. Step 4: Simplify right side
    133,162x = 85,373,827,344
  5. Step 5: Solve for x
    x = 85,373,827,344/133,162
  6. Step 6: Final answer
    x = 641,127.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.