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Finding the Third Proportional to 113,746.78 and 247,560.05

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Solution

The third proportional to 113,746.78 and 247,560.05 is: 538,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,746.78 : 247,560.05 = 247,560.05 : x
  2. Step 2: Convert to fraction form
    113,746.78/247,560.05 = 247,560.05/x
  3. Step 3: Cross multiply
    113,746.78x = 247,560.05 × 247,560.05
  4. Step 4: Simplify right side
    113,746.78x = 61,285,976,808.75
  5. Step 5: Solve for x
    x = 61,285,976,808.75/113,746.78
  6. Step 6: Final answer
    x = 538,793.06

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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.