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Finding the Third Proportional to 131,491.13 and 283,090.50

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Solution

The third proportional to 131,491.13 and 283,090.50 is: 609,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,491.13 : 283,090.50 = 283,090.50 : x
  2. Step 2: Convert to fraction form
    131,491.13/283,090.50 = 283,090.50/x
  3. Step 3: Cross multiply
    131,491.13x = 283,090.50 × 283,090.50
  4. Step 4: Simplify right side
    131,491.13x = 80,140,231,190.25
  5. Step 5: Solve for x
    x = 80,140,231,190.25/131,491.13
  6. Step 6: Final answer
    x = 609,472.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.