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Finding the Third Proportional to 160,478.72 and 248,361.19

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Solution

The third proportional to 160,478.72 and 248,361.19 is: 384,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,478.72 : 248,361.19 = 248,361.19 : x
  2. Step 2: Convert to fraction form
    160,478.72/248,361.19 = 248,361.19/x
  3. Step 3: Cross multiply
    160,478.72x = 248,361.19 × 248,361.19
  4. Step 4: Simplify right side
    160,478.72x = 61,683,279,456.41
  5. Step 5: Solve for x
    x = 61,683,279,456.41/160,478.72
  6. Step 6: Final answer
    x = 384,370.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.