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Finding the Third Proportional to 160,875 and 241,002

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Solution

The third proportional to 160,875 and 241,002 is: 361,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,875 : 241,002 = 241,002 : x
  2. Step 2: Convert to fraction form
    160,875/241,002 = 241,002/x
  3. Step 3: Cross multiply
    160,875x = 241,002 × 241,002
  4. Step 4: Simplify right side
    160,875x = 58,081,964,004
  5. Step 5: Solve for x
    x = 58,081,964,004/160,875
  6. Step 6: Final answer
    x = 361,037.85

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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.