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Finding the Third Proportional to 142,152.75 and 236,882.25

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Solution

The third proportional to 142,152.75 and 236,882.25 is: 394,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,152.75 : 236,882.25 = 236,882.25 : x
  2. Step 2: Convert to fraction form
    142,152.75/236,882.25 = 236,882.25/x
  3. Step 3: Cross multiply
    142,152.75x = 236,882.25 × 236,882.25
  4. Step 4: Simplify right side
    142,152.75x = 56,113,200,365.06
  5. Step 5: Solve for x
    x = 56,113,200,365.06/142,152.75
  6. Step 6: Final answer
    x = 394,738.76

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.