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Finding the Third Proportional to 132,310 and 199,657

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Solution

The third proportional to 132,310 and 199,657 is: 301,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,310 : 199,657 = 199,657 : x
  2. Step 2: Convert to fraction form
    132,310/199,657 = 199,657/x
  3. Step 3: Cross multiply
    132,310x = 199,657 × 199,657
  4. Step 4: Simplify right side
    132,310x = 39,862,917,649
  5. Step 5: Solve for x
    x = 39,862,917,649/132,310
  6. Step 6: Final answer
    x = 301,284.24

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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.