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Finding the Third Proportional to 150,491 and 313,437

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Solution

The third proportional to 150,491 and 313,437 is: 652,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,491 : 313,437 = 313,437 : x
  2. Step 2: Convert to fraction form
    150,491/313,437 = 313,437/x
  3. Step 3: Cross multiply
    150,491x = 313,437 × 313,437
  4. Step 4: Simplify right side
    150,491x = 98,242,752,969
  5. Step 5: Solve for x
    x = 98,242,752,969/150,491
  6. Step 6: Final answer
    x = 652,814.81

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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.