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Finding the Third Proportional to 154,074 and 333,418

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Solution

The third proportional to 154,074 and 333,418 is: 721,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,074 : 333,418 = 333,418 : x
  2. Step 2: Convert to fraction form
    154,074/333,418 = 333,418/x
  3. Step 3: Cross multiply
    154,074x = 333,418 × 333,418
  4. Step 4: Simplify right side
    154,074x = 111,167,562,724
  5. Step 5: Solve for x
    x = 111,167,562,724/154,074
  6. Step 6: Final answer
    x = 721,520.59

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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.