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Finding the Third Proportional to 150,010 and 326,324

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Solution

The third proportional to 150,010 and 326,324 is: 709,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010 : 326,324 = 326,324 : x
  2. Step 2: Convert to fraction form
    150,010/326,324 = 326,324/x
  3. Step 3: Cross multiply
    150,010x = 326,324 × 326,324
  4. Step 4: Simplify right side
    150,010x = 106,487,352,976
  5. Step 5: Solve for x
    x = 106,487,352,976/150,010
  6. Step 6: Final answer
    x = 709,868.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.