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Finding the Third Proportional to 150,963 and 308,480

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Solution

The third proportional to 150,963 and 308,480 is: 630,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,963 : 308,480 = 308,480 : x
  2. Step 2: Convert to fraction form
    150,963/308,480 = 308,480/x
  3. Step 3: Cross multiply
    150,963x = 308,480 × 308,480
  4. Step 4: Simplify right side
    150,963x = 95,159,910,400
  5. Step 5: Solve for x
    x = 95,159,910,400/150,963
  6. Step 6: Final answer
    x = 630,352.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.