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Finding the Third Proportional to 160,800 and 236,382

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Solution

The third proportional to 160,800 and 236,382 is: 347,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,800 : 236,382 = 236,382 : x
  2. Step 2: Convert to fraction form
    160,800/236,382 = 236,382/x
  3. Step 3: Cross multiply
    160,800x = 236,382 × 236,382
  4. Step 4: Simplify right side
    160,800x = 55,876,449,924
  5. Step 5: Solve for x
    x = 55,876,449,924/160,800
  6. Step 6: Final answer
    x = 347,490.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.