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Finding the Third Proportional to 112,228 and 241,948

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Solution

The third proportional to 112,228 and 241,948 is: 521,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,228 : 241,948 = 241,948 : x
  2. Step 2: Convert to fraction form
    112,228/241,948 = 241,948/x
  3. Step 3: Cross multiply
    112,228x = 241,948 × 241,948
  4. Step 4: Simplify right side
    112,228x = 58,538,834,704
  5. Step 5: Solve for x
    x = 58,538,834,704/112,228
  6. Step 6: Final answer
    x = 521,606.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.