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Finding the Third Proportional to 270,708.75 and 405,091.13

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Solution

The third proportional to 270,708.75 and 405,091.13 is: 606,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,708.75 : 405,091.13 = 405,091.13 : x
  2. Step 2: Convert to fraction form
    270,708.75/405,091.13 = 405,091.13/x
  3. Step 3: Cross multiply
    270,708.75x = 405,091.13 × 405,091.13
  4. Step 4: Simplify right side
    270,708.75x = 164,098,819,553.77
  5. Step 5: Solve for x
    x = 164,098,819,553.77/270,708.75
  6. Step 6: Final answer
    x = 606,182.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.