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Finding the Third Proportional to 150,066 and 328,016

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Solution

The third proportional to 150,066 and 328,016 is: 716,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,066 : 328,016 = 328,016 : x
  2. Step 2: Convert to fraction form
    150,066/328,016 = 328,016/x
  3. Step 3: Cross multiply
    150,066x = 328,016 × 328,016
  4. Step 4: Simplify right side
    150,066x = 107,594,496,256
  5. Step 5: Solve for x
    x = 107,594,496,256/150,066
  6. Step 6: Final answer
    x = 716,981.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.