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Finding the Third Proportional to 126,574 and 278,412

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Solution

The third proportional to 126,574 and 278,412 is: 612,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,574 : 278,412 = 278,412 : x
  2. Step 2: Convert to fraction form
    126,574/278,412 = 278,412/x
  3. Step 3: Cross multiply
    126,574x = 278,412 × 278,412
  4. Step 4: Simplify right side
    126,574x = 77,513,241,744
  5. Step 5: Solve for x
    x = 77,513,241,744/126,574
  6. Step 6: Final answer
    x = 612,394.66

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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.