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Finding the Third Proportional to 150,424 and 326,783

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Solution

The third proportional to 150,424 and 326,783 is: 709,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,424 : 326,783 = 326,783 : x
  2. Step 2: Convert to fraction form
    150,424/326,783 = 326,783/x
  3. Step 3: Cross multiply
    150,424x = 326,783 × 326,783
  4. Step 4: Simplify right side
    150,424x = 106,787,129,089
  5. Step 5: Solve for x
    x = 106,787,129,089/150,424
  6. Step 6: Final answer
    x = 709,907.52

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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.