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Finding the Third Proportional to 113,418 and 247,560

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Solution

The third proportional to 113,418 and 247,560 is: 540,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,418 : 247,560 = 247,560 : x
  2. Step 2: Convert to fraction form
    113,418/247,560 = 247,560/x
  3. Step 3: Cross multiply
    113,418x = 247,560 × 247,560
  4. Step 4: Simplify right side
    113,418x = 61,285,953,600
  5. Step 5: Solve for x
    x = 61,285,953,600/113,418
  6. Step 6: Final answer
    x = 540,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.