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Finding the Third Proportional to 154,153.31 and 336,246.38

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Solution

The third proportional to 154,153.31 and 336,246.38 is: 733,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,153.31 : 336,246.38 = 336,246.38 : x
  2. Step 2: Convert to fraction form
    154,153.31/336,246.38 = 336,246.38/x
  3. Step 3: Cross multiply
    154,153.31x = 336,246.38 × 336,246.38
  4. Step 4: Simplify right side
    154,153.31x = 113,061,624,700.64
  5. Step 5: Solve for x
    x = 113,061,624,700.64/154,153.31
  6. Step 6: Final answer
    x = 733,436.23

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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.