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Finding the Third Proportional to 131,049 and 207,832.50

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Solution

The third proportional to 131,049 and 207,832.50 is: 329,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,049 : 207,832.50 = 207,832.50 : x
  2. Step 2: Convert to fraction form
    131,049/207,832.50 = 207,832.50/x
  3. Step 3: Cross multiply
    131,049x = 207,832.50 × 207,832.50
  4. Step 4: Simplify right side
    131,049x = 43,194,348,056.25
  5. Step 5: Solve for x
    x = 43,194,348,056.25/131,049
  6. Step 6: Final answer
    x = 329,604.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.