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Finding the Third Proportional to 165,118.50 and 274,195.13

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Solution

The third proportional to 165,118.50 and 274,195.13 is: 455,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,118.50 : 274,195.13 = 274,195.13 : x
  2. Step 2: Convert to fraction form
    165,118.50/274,195.13 = 274,195.13/x
  3. Step 3: Cross multiply
    165,118.50x = 274,195.13 × 274,195.13
  4. Step 4: Simplify right side
    165,118.50x = 75,182,966,573.77
  5. Step 5: Solve for x
    x = 75,182,966,573.77/165,118.50
  6. Step 6: Final answer
    x = 455,327.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.