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Finding the Third Proportional to 112,347 and 241,218

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Solution

The third proportional to 112,347 and 241,218 is: 517,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,347 : 241,218 = 241,218 : x
  2. Step 2: Convert to fraction form
    112,347/241,218 = 241,218/x
  3. Step 3: Cross multiply
    112,347x = 241,218 × 241,218
  4. Step 4: Simplify right side
    112,347x = 58,186,123,524
  5. Step 5: Solve for x
    x = 58,186,123,524/112,347
  6. Step 6: Final answer
    x = 517,914.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.