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Finding the Third Proportional to 194,037 and 424,145.25

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Solution

The third proportional to 194,037 and 424,145.25 is: 927,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,037 : 424,145.25 = 424,145.25 : x
  2. Step 2: Convert to fraction form
    194,037/424,145.25 = 424,145.25/x
  3. Step 3: Cross multiply
    194,037x = 424,145.25 × 424,145.25
  4. Step 4: Simplify right side
    194,037x = 179,899,193,097.56
  5. Step 5: Solve for x
    x = 179,899,193,097.56/194,037
  6. Step 6: Final answer
    x = 927,138.60

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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.