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Finding the Third Proportional to 133,309.13 and 292,447.13

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Solution

The third proportional to 133,309.13 and 292,447.13 is: 641,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,309.13 : 292,447.13 = 292,447.13 : x
  2. Step 2: Convert to fraction form
    133,309.13/292,447.13 = 292,447.13/x
  3. Step 3: Cross multiply
    133,309.13x = 292,447.13 × 292,447.13
  4. Step 4: Simplify right side
    133,309.13x = 85,525,320,920.77
  5. Step 5: Solve for x
    x = 85,525,320,920.77/133,309.13
  6. Step 6: Final answer
    x = 641,556.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.