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Finding the Third Proportional to 150,598 and 313,681

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Solution

The third proportional to 150,598 and 313,681 is: 653,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,598 : 313,681 = 313,681 : x
  2. Step 2: Convert to fraction form
    150,598/313,681 = 313,681/x
  3. Step 3: Cross multiply
    150,598x = 313,681 × 313,681
  4. Step 4: Simplify right side
    150,598x = 98,395,769,761
  5. Step 5: Solve for x
    x = 98,395,769,761/150,598
  6. Step 6: Final answer
    x = 653,367.04

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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.