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Finding the Third Proportional to 133,164 and 292,192

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Solution

The third proportional to 133,164 and 292,192 is: 641,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164 : 292,192 = 292,192 : x
  2. Step 2: Convert to fraction form
    133,164/292,192 = 292,192/x
  3. Step 3: Cross multiply
    133,164x = 292,192 × 292,192
  4. Step 4: Simplify right side
    133,164x = 85,376,164,864
  5. Step 5: Solve for x
    x = 85,376,164,864/133,164
  6. Step 6: Final answer
    x = 641,135.48

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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.