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Finding the Third Proportional to 194,767.50 and 291,375

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Solution

The third proportional to 194,767.50 and 291,375 is: 435,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,767.50 : 291,375 = 291,375 : x
  2. Step 2: Convert to fraction form
    194,767.50/291,375 = 291,375/x
  3. Step 3: Cross multiply
    194,767.50x = 291,375 × 291,375
  4. Step 4: Simplify right side
    194,767.50x = 84,899,390,625
  5. Step 5: Solve for x
    x = 84,899,390,625/194,767.50
  6. Step 6: Final answer
    x = 435,901.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.