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Finding the Third Proportional to 160,902 and 241,041

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Solution

The third proportional to 160,902 and 241,041 is: 361,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,902 : 241,041 = 241,041 : x
  2. Step 2: Convert to fraction form
    160,902/241,041 = 241,041/x
  3. Step 3: Cross multiply
    160,902x = 241,041 × 241,041
  4. Step 4: Simplify right side
    160,902x = 58,100,763,681
  5. Step 5: Solve for x
    x = 58,100,763,681/160,902
  6. Step 6: Final answer
    x = 361,094.10

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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.