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Finding the Third Proportional to 134,408 and 198,527

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Solution

The third proportional to 134,408 and 198,527 is: 293,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,408 : 198,527 = 198,527 : x
  2. Step 2: Convert to fraction form
    134,408/198,527 = 198,527/x
  3. Step 3: Cross multiply
    134,408x = 198,527 × 198,527
  4. Step 4: Simplify right side
    134,408x = 39,412,969,729
  5. Step 5: Solve for x
    x = 39,412,969,729/134,408
  6. Step 6: Final answer
    x = 293,233.81

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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.