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Finding the Third Proportional to 230,112 and 353,202.75

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Solution

The third proportional to 230,112 and 353,202.75 is: 542,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,112 : 353,202.75 = 353,202.75 : x
  2. Step 2: Convert to fraction form
    230,112/353,202.75 = 353,202.75/x
  3. Step 3: Cross multiply
    230,112x = 353,202.75 × 353,202.75
  4. Step 4: Simplify right side
    230,112x = 124,752,182,607.56
  5. Step 5: Solve for x
    x = 124,752,182,607.56/230,112
  6. Step 6: Final answer
    x = 542,136.80

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