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Finding the Third Proportional to 146,034.56 and 315,423.19

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Solution

The third proportional to 146,034.56 and 315,423.19 is: 681,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,034.56 : 315,423.19 = 315,423.19 : x
  2. Step 2: Convert to fraction form
    146,034.56/315,423.19 = 315,423.19/x
  3. Step 3: Cross multiply
    146,034.56x = 315,423.19 × 315,423.19
  4. Step 4: Simplify right side
    146,034.56x = 99,491,787,212.66
  5. Step 5: Solve for x
    x = 99,491,787,212.66/146,034.56
  6. Step 6: Final answer
    x = 681,289.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.