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Finding the Third Proportional to 150,052 and 325,864

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Solution

The third proportional to 150,052 and 325,864 is: 707,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052 : 325,864 = 325,864 : x
  2. Step 2: Convert to fraction form
    150,052/325,864 = 325,864/x
  3. Step 3: Cross multiply
    150,052x = 325,864 × 325,864
  4. Step 4: Simplify right side
    150,052x = 106,187,346,496
  5. Step 5: Solve for x
    x = 106,187,346,496/150,052
  6. Step 6: Final answer
    x = 707,670.32

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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.