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Finding the Third Proportional to 154,151.44 and 336,242.81

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Solution

The third proportional to 154,151.44 and 336,242.81 is: 733,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,151.44 : 336,242.81 = 336,242.81 : x
  2. Step 2: Convert to fraction form
    154,151.44/336,242.81 = 336,242.81/x
  3. Step 3: Cross multiply
    154,151.44x = 336,242.81 × 336,242.81
  4. Step 4: Simplify right side
    154,151.44x = 113,059,228,957.91
  5. Step 5: Solve for x
    x = 113,059,228,957.91/154,151.44
  6. Step 6: Final answer
    x = 733,429.61

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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.