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Finding the Third Proportional to 150,034 and 325,827

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Solution

The third proportional to 150,034 and 325,827 is: 707,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,034 : 325,827 = 325,827 : x
  2. Step 2: Convert to fraction form
    150,034/325,827 = 325,827/x
  3. Step 3: Cross multiply
    150,034x = 325,827 × 325,827
  4. Step 4: Simplify right side
    150,034x = 106,163,233,929
  5. Step 5: Solve for x
    x = 106,163,233,929/150,034
  6. Step 6: Final answer
    x = 707,594.50

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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.