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Finding the Third Proportional to 160,881 and 241,010

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Solution

The third proportional to 160,881 and 241,010 is: 361,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,881 : 241,010 = 241,010 : x
  2. Step 2: Convert to fraction form
    160,881/241,010 = 241,010/x
  3. Step 3: Cross multiply
    160,881x = 241,010 × 241,010
  4. Step 4: Simplify right side
    160,881x = 58,085,820,100
  5. Step 5: Solve for x
    x = 58,085,820,100/160,881
  6. Step 6: Final answer
    x = 361,048.35

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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.