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Finding the Third Proportional to 131,302.50 and 200,234.25

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Solution

The third proportional to 131,302.50 and 200,234.25 is: 305,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,302.50 : 200,234.25 = 200,234.25 : x
  2. Step 2: Convert to fraction form
    131,302.50/200,234.25 = 200,234.25/x
  3. Step 3: Cross multiply
    131,302.50x = 200,234.25 × 200,234.25
  4. Step 4: Simplify right side
    131,302.50x = 40,093,754,873.06
  5. Step 5: Solve for x
    x = 40,093,754,873.06/131,302.50
  6. Step 6: Final answer
    x = 305,354.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.