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Finding the Third Proportional to 187,096.50 and 288,025.88

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Solution

The third proportional to 187,096.50 and 288,025.88 is: 443,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,096.50 : 288,025.88 = 288,025.88 : x
  2. Step 2: Convert to fraction form
    187,096.50/288,025.88 = 288,025.88/x
  3. Step 3: Cross multiply
    187,096.50x = 288,025.88 × 288,025.88
  4. Step 4: Simplify right side
    187,096.50x = 82,958,904,669.52
  5. Step 5: Solve for x
    x = 82,958,904,669.52/187,096.50
  6. Step 6: Final answer
    x = 443,401.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.