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Finding the Third Proportional to 175,252.50 and 372,381

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Solution

The third proportional to 175,252.50 and 372,381 is: 791,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,252.50 : 372,381 = 372,381 : x
  2. Step 2: Convert to fraction form
    175,252.50/372,381 = 372,381/x
  3. Step 3: Cross multiply
    175,252.50x = 372,381 × 372,381
  4. Step 4: Simplify right side
    175,252.50x = 138,667,609,161
  5. Step 5: Solve for x
    x = 138,667,609,161/175,252.50
  6. Step 6: Final answer
    x = 791,244.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.