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Finding the Third Proportional to 133,300.69 and 292,431.09

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Solution

The third proportional to 133,300.69 and 292,431.09 is: 641,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,300.69 : 292,431.09 = 292,431.09 : x
  2. Step 2: Convert to fraction form
    133,300.69/292,431.09 = 292,431.09/x
  3. Step 3: Cross multiply
    133,300.69x = 292,431.09 × 292,431.09
  4. Step 4: Simplify right side
    133,300.69x = 85,515,944,591.82
  5. Step 5: Solve for x
    x = 85,515,944,591.82/133,300.69
  6. Step 6: Final answer
    x = 641,526.66

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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.