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Finding the Third Proportional to 158,167.50 and 241,950

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Solution

The third proportional to 158,167.50 and 241,950 is: 370,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,167.50 : 241,950 = 241,950 : x
  2. Step 2: Convert to fraction form
    158,167.50/241,950 = 241,950/x
  3. Step 3: Cross multiply
    158,167.50x = 241,950 × 241,950
  4. Step 4: Simplify right side
    158,167.50x = 58,539,802,500
  5. Step 5: Solve for x
    x = 58,539,802,500/158,167.50
  6. Step 6: Final answer
    x = 370,112.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.