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Finding the Third Proportional to 142,418 and 303,244

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Solution

The third proportional to 142,418 and 303,244 is: 645,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,418 : 303,244 = 303,244 : x
  2. Step 2: Convert to fraction form
    142,418/303,244 = 303,244/x
  3. Step 3: Cross multiply
    142,418x = 303,244 × 303,244
  4. Step 4: Simplify right side
    142,418x = 91,956,923,536
  5. Step 5: Solve for x
    x = 91,956,923,536/142,418
  6. Step 6: Final answer
    x = 645,683.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.