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Finding the Third Proportional to 126,398 and 190,398

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Solution

The third proportional to 126,398 and 190,398 is: 286,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,398 : 190,398 = 190,398 : x
  2. Step 2: Convert to fraction form
    126,398/190,398 = 190,398/x
  3. Step 3: Cross multiply
    126,398x = 190,398 × 190,398
  4. Step 4: Simplify right side
    126,398x = 36,251,398,404
  5. Step 5: Solve for x
    x = 36,251,398,404/126,398
  6. Step 6: Final answer
    x = 286,803.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.