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Finding the Third Proportional to 158,137.31 and 252,922.50

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Solution

The third proportional to 158,137.31 and 252,922.50 is: 404,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,137.31 : 252,922.50 = 252,922.50 : x
  2. Step 2: Convert to fraction form
    158,137.31/252,922.50 = 252,922.50/x
  3. Step 3: Cross multiply
    158,137.31x = 252,922.50 × 252,922.50
  4. Step 4: Simplify right side
    158,137.31x = 63,969,791,006.25
  5. Step 5: Solve for x
    x = 63,969,791,006.25/158,137.31
  6. Step 6: Final answer
    x = 404,520.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.