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Finding the Third Proportional to 237,728.50 and 518,105

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Solution

The third proportional to 237,728.50 and 518,105 is: 1,129,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,728.50 : 518,105 = 518,105 : x
  2. Step 2: Convert to fraction form
    237,728.50/518,105 = 518,105/x
  3. Step 3: Cross multiply
    237,728.50x = 518,105 × 518,105
  4. Step 4: Simplify right side
    237,728.50x = 268,432,791,025
  5. Step 5: Solve for x
    x = 268,432,791,025/237,728.50
  6. Step 6: Final answer
    x = 1,129,156.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.