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Finding the Third Proportional to 133,819.13 and 294,253.13

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Solution

The third proportional to 133,819.13 and 294,253.13 is: 647,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.13 : 294,253.13 = 294,253.13 : x
  2. Step 2: Convert to fraction form
    133,819.13/294,253.13 = 294,253.13/x
  3. Step 3: Cross multiply
    133,819.13x = 294,253.13 × 294,253.13
  4. Step 4: Simplify right side
    133,819.13x = 86,584,901,572.27
  5. Step 5: Solve for x
    x = 86,584,901,572.27/133,819.13
  6. Step 6: Final answer
    x = 647,029.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.