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Finding the Third Proportional to 192,919 and 423,188

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Solution

The third proportional to 192,919 and 423,188 is: 928,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,919 : 423,188 = 423,188 : x
  2. Step 2: Convert to fraction form
    192,919/423,188 = 423,188/x
  3. Step 3: Cross multiply
    192,919x = 423,188 × 423,188
  4. Step 4: Simplify right side
    192,919x = 179,088,083,344
  5. Step 5: Solve for x
    x = 179,088,083,344/192,919
  6. Step 6: Final answer
    x = 928,307.13

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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.