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Finding the Third Proportional to 154,074 and 336,507

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Solution

The third proportional to 154,074 and 336,507 is: 734,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,074 : 336,507 = 336,507 : x
  2. Step 2: Convert to fraction form
    154,074/336,507 = 336,507/x
  3. Step 3: Cross multiply
    154,074x = 336,507 × 336,507
  4. Step 4: Simplify right side
    154,074x = 113,236,961,049
  5. Step 5: Solve for x
    x = 113,236,961,049/154,074
  6. Step 6: Final answer
    x = 734,951.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.