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Finding the Third Proportional to 163,584 and 231,976

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Solution

The third proportional to 163,584 and 231,976 is: 328,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,584 : 231,976 = 231,976 : x
  2. Step 2: Convert to fraction form
    163,584/231,976 = 231,976/x
  3. Step 3: Cross multiply
    163,584x = 231,976 × 231,976
  4. Step 4: Simplify right side
    163,584x = 53,812,864,576
  5. Step 5: Solve for x
    x = 53,812,864,576/163,584
  6. Step 6: Final answer
    x = 328,961.66

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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.