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Finding the Third Proportional to 150,149 and 326,434

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Solution

The third proportional to 150,149 and 326,434 is: 709,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,149 : 326,434 = 326,434 : x
  2. Step 2: Convert to fraction form
    150,149/326,434 = 326,434/x
  3. Step 3: Cross multiply
    150,149x = 326,434 × 326,434
  4. Step 4: Simplify right side
    150,149x = 106,559,156,356
  5. Step 5: Solve for x
    x = 106,559,156,356/150,149
  6. Step 6: Final answer
    x = 709,689.42

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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.