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Finding the Third Proportional to 150,856 and 325,472

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Solution

The third proportional to 150,856 and 325,472 is: 702,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,856 : 325,472 = 325,472 : x
  2. Step 2: Convert to fraction form
    150,856/325,472 = 325,472/x
  3. Step 3: Cross multiply
    150,856x = 325,472 × 325,472
  4. Step 4: Simplify right side
    150,856x = 105,932,022,784
  5. Step 5: Solve for x
    x = 105,932,022,784/150,856
  6. Step 6: Final answer
    x = 702,206.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.