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Finding the Third Proportional to 124,382 and 197,269

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Solution

The third proportional to 124,382 and 197,269 is: 312,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,382 : 197,269 = 197,269 : x
  2. Step 2: Convert to fraction form
    124,382/197,269 = 197,269/x
  3. Step 3: Cross multiply
    124,382x = 197,269 × 197,269
  4. Step 4: Simplify right side
    124,382x = 38,915,058,361
  5. Step 5: Solve for x
    x = 38,915,058,361/124,382
  6. Step 6: Final answer
    x = 312,867.28

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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.