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Finding the Third Proportional to 132,444 and 199,911

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Solution

The third proportional to 132,444 and 199,911 is: 301,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,444 : 199,911 = 199,911 : x
  2. Step 2: Convert to fraction form
    132,444/199,911 = 199,911/x
  3. Step 3: Cross multiply
    132,444x = 199,911 × 199,911
  4. Step 4: Simplify right side
    132,444x = 39,964,407,921
  5. Step 5: Solve for x
    x = 39,964,407,921/132,444
  6. Step 6: Final answer
    x = 301,745.70

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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.