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Finding the Third Proportional to 132,991 and 204,407

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Solution

The third proportional to 132,991 and 204,407 is: 314,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,991 : 204,407 = 204,407 : x
  2. Step 2: Convert to fraction form
    132,991/204,407 = 204,407/x
  3. Step 3: Cross multiply
    132,991x = 204,407 × 204,407
  4. Step 4: Simplify right side
    132,991x = 41,782,221,649
  5. Step 5: Solve for x
    x = 41,782,221,649/132,991
  6. Step 6: Final answer
    x = 314,173.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.