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Finding the Third Proportional to 150,567 and 325,944

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Solution

The third proportional to 150,567 and 325,944 is: 705,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,567 : 325,944 = 325,944 : x
  2. Step 2: Convert to fraction form
    150,567/325,944 = 325,944/x
  3. Step 3: Cross multiply
    150,567x = 325,944 × 325,944
  4. Step 4: Simplify right side
    150,567x = 106,239,491,136
  5. Step 5: Solve for x
    x = 106,239,491,136/150,567
  6. Step 6: Final answer
    x = 705,596.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.