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Finding the Third Proportional to 161,048 and 241,188

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Solution

The third proportional to 161,048 and 241,188 is: 361,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,048 : 241,188 = 241,188 : x
  2. Step 2: Convert to fraction form
    161,048/241,188 = 241,188/x
  3. Step 3: Cross multiply
    161,048x = 241,188 × 241,188
  4. Step 4: Simplify right side
    161,048x = 58,171,651,344
  5. Step 5: Solve for x
    x = 58,171,651,344/161,048
  6. Step 6: Final answer
    x = 361,206.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.