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Finding the Third Proportional to 132,466 and 199,242

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Solution

The third proportional to 132,466 and 199,242 is: 299,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466 : 199,242 = 199,242 : x
  2. Step 2: Convert to fraction form
    132,466/199,242 = 199,242/x
  3. Step 3: Cross multiply
    132,466x = 199,242 × 199,242
  4. Step 4: Simplify right side
    132,466x = 39,697,374,564
  5. Step 5: Solve for x
    x = 39,697,374,564/132,466
  6. Step 6: Final answer
    x = 299,679.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.