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Finding the Third Proportional to 126,572 and 278,408

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Solution

The third proportional to 126,572 and 278,408 is: 612,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,572 : 278,408 = 278,408 : x
  2. Step 2: Convert to fraction form
    126,572/278,408 = 278,408/x
  3. Step 3: Cross multiply
    126,572x = 278,408 × 278,408
  4. Step 4: Simplify right side
    126,572x = 77,511,014,464
  5. Step 5: Solve for x
    x = 77,511,014,464/126,572
  6. Step 6: Final answer
    x = 612,386.74

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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.