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Finding the Third Proportional to 126,258 and 278,760

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Solution

The third proportional to 126,258 and 278,760 is: 615,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,258 : 278,760 = 278,760 : x
  2. Step 2: Convert to fraction form
    126,258/278,760 = 278,760/x
  3. Step 3: Cross multiply
    126,258x = 278,760 × 278,760
  4. Step 4: Simplify right side
    126,258x = 77,707,137,600
  5. Step 5: Solve for x
    x = 77,707,137,600/126,258
  6. Step 6: Final answer
    x = 615,463.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.