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Finding the Third Proportional to 150,620 and 326,038

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Solution

The third proportional to 150,620 and 326,038 is: 705,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,620 : 326,038 = 326,038 : x
  2. Step 2: Convert to fraction form
    150,620/326,038 = 326,038/x
  3. Step 3: Cross multiply
    150,620x = 326,038 × 326,038
  4. Step 4: Simplify right side
    150,620x = 106,300,777,444
  5. Step 5: Solve for x
    x = 106,300,777,444/150,620
  6. Step 6: Final answer
    x = 705,754.73

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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.