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Finding the Third Proportional to 192,375 and 287,486

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Solution

The third proportional to 192,375 and 287,486 is: 429,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,375 : 287,486 = 287,486 : x
  2. Step 2: Convert to fraction form
    192,375/287,486 = 287,486/x
  3. Step 3: Cross multiply
    192,375x = 287,486 × 287,486
  4. Step 4: Simplify right side
    192,375x = 82,648,200,196
  5. Step 5: Solve for x
    x = 82,648,200,196/192,375
  6. Step 6: Final answer
    x = 429,620.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.