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Finding the Third Proportional to 150,960 and 328,120

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Solution

The third proportional to 150,960 and 328,120 is: 713,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,960 : 328,120 = 328,120 : x
  2. Step 2: Convert to fraction form
    150,960/328,120 = 328,120/x
  3. Step 3: Cross multiply
    150,960x = 328,120 × 328,120
  4. Step 4: Simplify right side
    150,960x = 107,662,734,400
  5. Step 5: Solve for x
    x = 107,662,734,400/150,960
  6. Step 6: Final answer
    x = 713,187.16

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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.