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Finding the Third Proportional to 150,952 and 328,112

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Solution

The third proportional to 150,952 and 328,112 is: 713,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,952 : 328,112 = 328,112 : x
  2. Step 2: Convert to fraction form
    150,952/328,112 = 328,112/x
  3. Step 3: Cross multiply
    150,952x = 328,112 × 328,112
  4. Step 4: Simplify right side
    150,952x = 107,657,484,544
  5. Step 5: Solve for x
    x = 107,657,484,544/150,952
  6. Step 6: Final answer
    x = 713,190.18

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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.