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Finding the Third Proportional to 132,307 and 199,689

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Solution

The third proportional to 132,307 and 199,689 is: 301,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,307 : 199,689 = 199,689 : x
  2. Step 2: Convert to fraction form
    132,307/199,689 = 199,689/x
  3. Step 3: Cross multiply
    132,307x = 199,689 × 199,689
  4. Step 4: Simplify right side
    132,307x = 39,875,696,721
  5. Step 5: Solve for x
    x = 39,875,696,721/132,307
  6. Step 6: Final answer
    x = 301,387.66

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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.