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Finding the Third Proportional to 150,378 and 310,296

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Solution

The third proportional to 150,378 and 310,296 is: 640,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,378 : 310,296 = 310,296 : x
  2. Step 2: Convert to fraction form
    150,378/310,296 = 310,296/x
  3. Step 3: Cross multiply
    150,378x = 310,296 × 310,296
  4. Step 4: Simplify right side
    150,378x = 96,283,607,616
  5. Step 5: Solve for x
    x = 96,283,607,616/150,378
  6. Step 6: Final answer
    x = 640,277.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.