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Finding the Third Proportional to 150,423 and 326,766

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Solution

The third proportional to 150,423 and 326,766 is: 709,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,423 : 326,766 = 326,766 : x
  2. Step 2: Convert to fraction form
    150,423/326,766 = 326,766/x
  3. Step 3: Cross multiply
    150,423x = 326,766 × 326,766
  4. Step 4: Simplify right side
    150,423x = 106,776,018,756
  5. Step 5: Solve for x
    x = 106,776,018,756/150,423
  6. Step 6: Final answer
    x = 709,838.38

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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.