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Finding the Third Proportional to 143,888 and 336,074

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Solution

The third proportional to 143,888 and 336,074 is: 784,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,888 : 336,074 = 336,074 : x
  2. Step 2: Convert to fraction form
    143,888/336,074 = 336,074/x
  3. Step 3: Cross multiply
    143,888x = 336,074 × 336,074
  4. Step 4: Simplify right side
    143,888x = 112,945,733,476
  5. Step 5: Solve for x
    x = 112,945,733,476/143,888
  6. Step 6: Final answer
    x = 784,955.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.