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Finding the Third Proportional to 194,532.75 and 297,703.13

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Solution

The third proportional to 194,532.75 and 297,703.13 is: 455,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,532.75 : 297,703.13 = 297,703.13 : x
  2. Step 2: Convert to fraction form
    194,532.75/297,703.13 = 297,703.13/x
  3. Step 3: Cross multiply
    194,532.75x = 297,703.13 × 297,703.13
  4. Step 4: Simplify right side
    194,532.75x = 88,627,150,634.77
  5. Step 5: Solve for x
    x = 88,627,150,634.77/194,532.75
  6. Step 6: Final answer
    x = 455,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.