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Finding the Third Proportional to 158,010.75 and 252,142.88

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Solution

The third proportional to 158,010.75 and 252,142.88 is: 402,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,010.75 : 252,142.88 = 252,142.88 : x
  2. Step 2: Convert to fraction form
    158,010.75/252,142.88 = 252,142.88/x
  3. Step 3: Cross multiply
    158,010.75x = 252,142.88 × 252,142.88
  4. Step 4: Simplify right side
    158,010.75x = 63,576,029,413.27
  5. Step 5: Solve for x
    x = 63,576,029,413.27/158,010.75
  6. Step 6: Final answer
    x = 402,352.56

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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.