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Finding the Third Proportional to 134,422 and 198,560

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Solution

The third proportional to 134,422 and 198,560 is: 293,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,422 : 198,560 = 198,560 : x
  2. Step 2: Convert to fraction form
    134,422/198,560 = 198,560/x
  3. Step 3: Cross multiply
    134,422x = 198,560 × 198,560
  4. Step 4: Simplify right side
    134,422x = 39,426,073,600
  5. Step 5: Solve for x
    x = 39,426,073,600/134,422
  6. Step 6: Final answer
    x = 293,300.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.