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Finding the Third Proportional to 133,296.89 and 292,423.92

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Solution

The third proportional to 133,296.89 and 292,423.92 is: 641,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,296.89 : 292,423.92 = 292,423.92 : x
  2. Step 2: Convert to fraction form
    133,296.89/292,423.92 = 292,423.92/x
  3. Step 3: Cross multiply
    133,296.89x = 292,423.92 × 292,423.92
  4. Step 4: Simplify right side
    133,296.89x = 85,511,750,084.76
  5. Step 5: Solve for x
    x = 85,511,750,084.76/133,296.89
  6. Step 6: Final answer
    x = 641,513.46

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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.