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Finding the Third Proportional to 134,692 and 199,432

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Solution

The third proportional to 134,692 and 199,432 is: 295,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,692 : 199,432 = 199,432 : x
  2. Step 2: Convert to fraction form
    134,692/199,432 = 199,432/x
  3. Step 3: Cross multiply
    134,692x = 199,432 × 199,432
  4. Step 4: Simplify right side
    134,692x = 39,773,122,624
  5. Step 5: Solve for x
    x = 39,773,122,624/134,692
  6. Step 6: Final answer
    x = 295,289.42

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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.