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Finding the Third Proportional to 113,141 and 223,424

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Solution

The third proportional to 113,141 and 223,424 is: 441,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,141 : 223,424 = 223,424 : x
  2. Step 2: Convert to fraction form
    113,141/223,424 = 223,424/x
  3. Step 3: Cross multiply
    113,141x = 223,424 × 223,424
  4. Step 4: Simplify right side
    113,141x = 49,918,283,776
  5. Step 5: Solve for x
    x = 49,918,283,776/113,141
  6. Step 6: Final answer
    x = 441,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.