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Finding the Third Proportional to 158,010.75 and 251,641.69

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Solution

The third proportional to 158,010.75 and 251,641.69 is: 400,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,010.75 : 251,641.69 = 251,641.69 : x
  2. Step 2: Convert to fraction form
    158,010.75/251,641.69 = 251,641.69/x
  3. Step 3: Cross multiply
    158,010.75x = 251,641.69 × 251,641.69
  4. Step 4: Simplify right side
    158,010.75x = 63,323,538,887.85
  5. Step 5: Solve for x
    x = 63,323,538,887.85/158,010.75
  6. Step 6: Final answer
    x = 400,754.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.