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Finding the Third Proportional to 172,650.75 and 372,462

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Solution

The third proportional to 172,650.75 and 372,462 is: 803,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,650.75 : 372,462 = 372,462 : x
  2. Step 2: Convert to fraction form
    172,650.75/372,462 = 372,462/x
  3. Step 3: Cross multiply
    172,650.75x = 372,462 × 372,462
  4. Step 4: Simplify right side
    172,650.75x = 138,727,941,444
  5. Step 5: Solve for x
    x = 138,727,941,444/172,650.75
  6. Step 6: Final answer
    x = 803,517.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.