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Finding the Third Proportional to 160,608 and 241,380

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Solution

The third proportional to 160,608 and 241,380 is: 362,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,608 : 241,380 = 241,380 : x
  2. Step 2: Convert to fraction form
    160,608/241,380 = 241,380/x
  3. Step 3: Cross multiply
    160,608x = 241,380 × 241,380
  4. Step 4: Simplify right side
    160,608x = 58,264,304,400
  5. Step 5: Solve for x
    x = 58,264,304,400/160,608
  6. Step 6: Final answer
    x = 362,773.36

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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.