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Finding the Third Proportional to 160,876.50 and 241,004

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Solution

The third proportional to 160,876.50 and 241,004 is: 361,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,876.50 : 241,004 = 241,004 : x
  2. Step 2: Convert to fraction form
    160,876.50/241,004 = 241,004/x
  3. Step 3: Cross multiply
    160,876.50x = 241,004 × 241,004
  4. Step 4: Simplify right side
    160,876.50x = 58,082,928,016
  5. Step 5: Solve for x
    x = 58,082,928,016/160,876.50
  6. Step 6: Final answer
    x = 361,040.48

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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.