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Finding the Third Proportional to 163,586 and 231,979

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Solution

The third proportional to 163,586 and 231,979 is: 328,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,586 : 231,979 = 231,979 : x
  2. Step 2: Convert to fraction form
    163,586/231,979 = 231,979/x
  3. Step 3: Cross multiply
    163,586x = 231,979 × 231,979
  4. Step 4: Simplify right side
    163,586x = 53,814,256,441
  5. Step 5: Solve for x
    x = 53,814,256,441/163,586
  6. Step 6: Final answer
    x = 328,966.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.