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Finding the Third Proportional to 171,740.25 and 372,073.50

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Solution

The third proportional to 171,740.25 and 372,073.50 is: 806,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,740.25 : 372,073.50 = 372,073.50 : x
  2. Step 2: Convert to fraction form
    171,740.25/372,073.50 = 372,073.50/x
  3. Step 3: Cross multiply
    171,740.25x = 372,073.50 × 372,073.50
  4. Step 4: Simplify right side
    171,740.25x = 138,438,689,402.25
  5. Step 5: Solve for x
    x = 138,438,689,402.25/171,740.25
  6. Step 6: Final answer
    x = 806,093.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.