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Finding the Third Proportional to 131,827.50 and 285,525

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Solution

The third proportional to 131,827.50 and 285,525 is: 618,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,827.50 : 285,525 = 285,525 : x
  2. Step 2: Convert to fraction form
    131,827.50/285,525 = 285,525/x
  3. Step 3: Cross multiply
    131,827.50x = 285,525 × 285,525
  4. Step 4: Simplify right side
    131,827.50x = 81,524,525,625
  5. Step 5: Solve for x
    x = 81,524,525,625/131,827.50
  6. Step 6: Final answer
    x = 618,418.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.