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Finding the Third Proportional to 131,513 and 287,635

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Solution

The third proportional to 131,513 and 287,635 is: 629,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,513 : 287,635 = 287,635 : x
  2. Step 2: Convert to fraction form
    131,513/287,635 = 287,635/x
  3. Step 3: Cross multiply
    131,513x = 287,635 × 287,635
  4. Step 4: Simplify right side
    131,513x = 82,733,893,225
  5. Step 5: Solve for x
    x = 82,733,893,225/131,513
  6. Step 6: Final answer
    x = 629,092.89

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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.