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Finding the Third Proportional to 133,098 and 292,005

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Solution

The third proportional to 133,098 and 292,005 is: 640,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 292,005 = 292,005 : x
  2. Step 2: Convert to fraction form
    133,098/292,005 = 292,005/x
  3. Step 3: Cross multiply
    133,098x = 292,005 × 292,005
  4. Step 4: Simplify right side
    133,098x = 85,266,920,025
  5. Step 5: Solve for x
    x = 85,266,920,025/133,098
  6. Step 6: Final answer
    x = 640,632.62

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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.