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Finding the Third Proportional to 150,623 and 326,041

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Solution

The third proportional to 150,623 and 326,041 is: 705,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623 : 326,041 = 326,041 : x
  2. Step 2: Convert to fraction form
    150,623/326,041 = 326,041/x
  3. Step 3: Cross multiply
    150,623x = 326,041 × 326,041
  4. Step 4: Simplify right side
    150,623x = 106,302,733,681
  5. Step 5: Solve for x
    x = 106,302,733,681/150,623
  6. Step 6: Final answer
    x = 705,753.66

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Why These Related Problems?

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