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Finding the Third Proportional to 150,509 and 326,965

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Solution

The third proportional to 150,509 and 326,965 is: 710,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,509 : 326,965 = 326,965 : x
  2. Step 2: Convert to fraction form
    150,509/326,965 = 326,965/x
  3. Step 3: Cross multiply
    150,509x = 326,965 × 326,965
  4. Step 4: Simplify right side
    150,509x = 106,906,111,225
  5. Step 5: Solve for x
    x = 106,906,111,225/150,509
  6. Step 6: Final answer
    x = 710,297.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.