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Finding the Third Proportional to 150,782 and 313,966

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Solution

The third proportional to 150,782 and 313,966 is: 653,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,782 : 313,966 = 313,966 : x
  2. Step 2: Convert to fraction form
    150,782/313,966 = 313,966/x
  3. Step 3: Cross multiply
    150,782x = 313,966 × 313,966
  4. Step 4: Simplify right side
    150,782x = 98,574,649,156
  5. Step 5: Solve for x
    x = 98,574,649,156/150,782
  6. Step 6: Final answer
    x = 653,756.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.