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Finding the Third Proportional to 154,151 and 336,314

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Solution

The third proportional to 154,151 and 336,314 is: 733,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,151 : 336,314 = 336,314 : x
  2. Step 2: Convert to fraction form
    154,151/336,314 = 336,314/x
  3. Step 3: Cross multiply
    154,151x = 336,314 × 336,314
  4. Step 4: Simplify right side
    154,151x = 113,107,106,596
  5. Step 5: Solve for x
    x = 113,107,106,596/154,151
  6. Step 6: Final answer
    x = 733,742.28

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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.