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Finding the Third Proportional to 150,158 and 326,450

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Solution

The third proportional to 150,158 and 326,450 is: 709,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,158 : 326,450 = 326,450 : x
  2. Step 2: Convert to fraction form
    150,158/326,450 = 326,450/x
  3. Step 3: Cross multiply
    150,158x = 326,450 × 326,450
  4. Step 4: Simplify right side
    150,158x = 106,569,602,500
  5. Step 5: Solve for x
    x = 106,569,602,500/150,158
  6. Step 6: Final answer
    x = 709,716.45

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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.