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Finding the Third Proportional to 160,647.75 and 239,217.75

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Solution

The third proportional to 160,647.75 and 239,217.75 is: 356,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,647.75 : 239,217.75 = 239,217.75 : x
  2. Step 2: Convert to fraction form
    160,647.75/239,217.75 = 239,217.75/x
  3. Step 3: Cross multiply
    160,647.75x = 239,217.75 × 239,217.75
  4. Step 4: Simplify right side
    160,647.75x = 57,225,131,915.06
  5. Step 5: Solve for x
    x = 57,225,131,915.06/160,647.75
  6. Step 6: Final answer
    x = 356,214.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.