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Finding the Third Proportional to 154,422 and 333,448

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Solution

The third proportional to 154,422 and 333,448 is: 720,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422 : 333,448 = 333,448 : x
  2. Step 2: Convert to fraction form
    154,422/333,448 = 333,448/x
  3. Step 3: Cross multiply
    154,422x = 333,448 × 333,448
  4. Step 4: Simplify right side
    154,422x = 111,187,568,704
  5. Step 5: Solve for x
    x = 111,187,568,704/154,422
  6. Step 6: Final answer
    x = 720,024.15

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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.