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Finding the Third Proportional to 132,464 and 199,938

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Solution

The third proportional to 132,464 and 199,938 is: 301,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,464 : 199,938 = 199,938 : x
  2. Step 2: Convert to fraction form
    132,464/199,938 = 199,938/x
  3. Step 3: Cross multiply
    132,464x = 199,938 × 199,938
  4. Step 4: Simplify right side
    132,464x = 39,975,203,844
  5. Step 5: Solve for x
    x = 39,975,203,844/132,464
  6. Step 6: Final answer
    x = 301,781.65

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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.