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Finding the Third Proportional to 112,374 and 247,347

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Solution

The third proportional to 112,374 and 247,347 is: 544,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,374 : 247,347 = 247,347 : x
  2. Step 2: Convert to fraction form
    112,374/247,347 = 247,347/x
  3. Step 3: Cross multiply
    112,374x = 247,347 × 247,347
  4. Step 4: Simplify right side
    112,374x = 61,180,538,409
  5. Step 5: Solve for x
    x = 61,180,538,409/112,374
  6. Step 6: Final answer
    x = 544,436.78

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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.