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Finding the Third Proportional to 194,031.75 and 424,134.75

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Solution

The third proportional to 194,031.75 and 424,134.75 is: 927,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,031.75 : 424,134.75 = 424,134.75 : x
  2. Step 2: Convert to fraction form
    194,031.75/424,134.75 = 424,134.75/x
  3. Step 3: Cross multiply
    194,031.75x = 424,134.75 × 424,134.75
  4. Step 4: Simplify right side
    194,031.75x = 179,890,286,157.56
  5. Step 5: Solve for x
    x = 179,890,286,157.56/194,031.75
  6. Step 6: Final answer
    x = 927,117.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.