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Finding the Third Proportional to 160,800 and 236,538

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Solution

The third proportional to 160,800 and 236,538 is: 347,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,800 : 236,538 = 236,538 : x
  2. Step 2: Convert to fraction form
    160,800/236,538 = 236,538/x
  3. Step 3: Cross multiply
    160,800x = 236,538 × 236,538
  4. Step 4: Simplify right side
    160,800x = 55,950,225,444
  5. Step 5: Solve for x
    x = 55,950,225,444/160,800
  6. Step 6: Final answer
    x = 347,949.16

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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.