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Finding the Third Proportional to 194,038 and 424,147

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Solution

The third proportional to 194,038 and 424,147 is: 927,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,038 : 424,147 = 424,147 : x
  2. Step 2: Convert to fraction form
    194,038/424,147 = 424,147/x
  3. Step 3: Cross multiply
    194,038x = 424,147 × 424,147
  4. Step 4: Simplify right side
    194,038x = 179,900,677,609
  5. Step 5: Solve for x
    x = 179,900,677,609/194,038
  6. Step 6: Final answer
    x = 927,141.48

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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.