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Finding the Third Proportional to 112,818 and 247,948

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Solution

The third proportional to 112,818 and 247,948 is: 544,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,818 : 247,948 = 247,948 : x
  2. Step 2: Convert to fraction form
    112,818/247,948 = 247,948/x
  3. Step 3: Cross multiply
    112,818x = 247,948 × 247,948
  4. Step 4: Simplify right side
    112,818x = 61,478,210,704
  5. Step 5: Solve for x
    x = 61,478,210,704/112,818
  6. Step 6: Final answer
    x = 544,932.64

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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.