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Finding the Third Proportional to 113,394 and 247,194

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Solution

The third proportional to 113,394 and 247,194 is: 538,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,394 : 247,194 = 247,194 : x
  2. Step 2: Convert to fraction form
    113,394/247,194 = 247,194/x
  3. Step 3: Cross multiply
    113,394x = 247,194 × 247,194
  4. Step 4: Simplify right side
    113,394x = 61,104,873,636
  5. Step 5: Solve for x
    x = 61,104,873,636/113,394
  6. Step 6: Final answer
    x = 538,872.19

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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.