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Finding the Third Proportional to 150,151 and 326,438

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Solution

The third proportional to 150,151 and 326,438 is: 709,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,151 : 326,438 = 326,438 : x
  2. Step 2: Convert to fraction form
    150,151/326,438 = 326,438/x
  3. Step 3: Cross multiply
    150,151x = 326,438 × 326,438
  4. Step 4: Simplify right side
    150,151x = 106,561,767,844
  5. Step 5: Solve for x
    x = 106,561,767,844/150,151
  6. Step 6: Final answer
    x = 709,697.36

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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.