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Finding the Third Proportional to 138,518 and 303,310

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Solution

The third proportional to 138,518 and 303,310 is: 664,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,518 : 303,310 = 303,310 : x
  2. Step 2: Convert to fraction form
    138,518/303,310 = 303,310/x
  3. Step 3: Cross multiply
    138,518x = 303,310 × 303,310
  4. Step 4: Simplify right side
    138,518x = 91,996,956,100
  5. Step 5: Solve for x
    x = 91,996,956,100/138,518
  6. Step 6: Final answer
    x = 664,151.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.