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Finding the Third Proportional to 158,712.75 and 339,265.13

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Solution

The third proportional to 158,712.75 and 339,265.13 is: 725,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,712.75 : 339,265.13 = 339,265.13 : x
  2. Step 2: Convert to fraction form
    158,712.75/339,265.13 = 339,265.13/x
  3. Step 3: Cross multiply
    158,712.75x = 339,265.13 × 339,265.13
  4. Step 4: Simplify right side
    158,712.75x = 115,100,825,041.27
  5. Step 5: Solve for x
    x = 115,100,825,041.27/158,712.75
  6. Step 6: Final answer
    x = 725,214.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.