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Finding the Third Proportional to 187,204.50 and 301,576.50

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Solution

The third proportional to 187,204.50 and 301,576.50 is: 485,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,204.50 : 301,576.50 = 301,576.50 : x
  2. Step 2: Convert to fraction form
    187,204.50/301,576.50 = 301,576.50/x
  3. Step 3: Cross multiply
    187,204.50x = 301,576.50 × 301,576.50
  4. Step 4: Simplify right side
    187,204.50x = 90,948,385,352.25
  5. Step 5: Solve for x
    x = 90,948,385,352.25/187,204.50
  6. Step 6: Final answer
    x = 485,823.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.