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Finding the Third Proportional to 142,079.50 and 236,765.50

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Solution

The third proportional to 142,079.50 and 236,765.50 is: 394,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,079.50 : 236,765.50 = 236,765.50 : x
  2. Step 2: Convert to fraction form
    142,079.50/236,765.50 = 236,765.50/x
  3. Step 3: Cross multiply
    142,079.50x = 236,765.50 × 236,765.50
  4. Step 4: Simplify right side
    142,079.50x = 56,057,901,990.25
  5. Step 5: Solve for x
    x = 56,057,901,990.25/142,079.50
  6. Step 6: Final answer
    x = 394,553.06

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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.