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Finding the Third Proportional to 124,381 and 197,268

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Solution

The third proportional to 124,381 and 197,268 is: 312,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,381 : 197,268 = 197,268 : x
  2. Step 2: Convert to fraction form
    124,381/197,268 = 197,268/x
  3. Step 3: Cross multiply
    124,381x = 197,268 × 197,268
  4. Step 4: Simplify right side
    124,381x = 38,914,663,824
  5. Step 5: Solve for x
    x = 38,914,663,824/124,381
  6. Step 6: Final answer
    x = 312,866.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.