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Finding the Third Proportional to 160,850 and 230,827

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Solution

The third proportional to 160,850 and 230,827 is: 331,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,850 : 230,827 = 230,827 : x
  2. Step 2: Convert to fraction form
    160,850/230,827 = 230,827/x
  3. Step 3: Cross multiply
    160,850x = 230,827 × 230,827
  4. Step 4: Simplify right side
    160,850x = 53,281,103,929
  5. Step 5: Solve for x
    x = 53,281,103,929/160,850
  6. Step 6: Final answer
    x = 331,247.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.