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Finding the Third Proportional to 150,972 and 308,498.25

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Solution

The third proportional to 150,972 and 308,498.25 is: 630,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,972 : 308,498.25 = 308,498.25 : x
  2. Step 2: Convert to fraction form
    150,972/308,498.25 = 308,498.25/x
  3. Step 3: Cross multiply
    150,972x = 308,498.25 × 308,498.25
  4. Step 4: Simplify right side
    150,972x = 95,171,170,253.06
  5. Step 5: Solve for x
    x = 95,171,170,253.06/150,972
  6. Step 6: Final answer
    x = 630,389.54

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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.