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Finding the Third Proportional to 131,512.50 and 287,628

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Solution

The third proportional to 131,512.50 and 287,628 is: 629,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,512.50 : 287,628 = 287,628 : x
  2. Step 2: Convert to fraction form
    131,512.50/287,628 = 287,628/x
  3. Step 3: Cross multiply
    131,512.50x = 287,628 × 287,628
  4. Step 4: Simplify right side
    131,512.50x = 82,729,866,384
  5. Step 5: Solve for x
    x = 82,729,866,384/131,512.50
  6. Step 6: Final answer
    x = 629,064.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.