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Finding the Third Proportional to 235,105 and 336,072

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Solution

The third proportional to 235,105 and 336,072 is: 480,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,105 : 336,072 = 336,072 : x
  2. Step 2: Convert to fraction form
    235,105/336,072 = 336,072/x
  3. Step 3: Cross multiply
    235,105x = 336,072 × 336,072
  4. Step 4: Simplify right side
    235,105x = 112,944,389,184
  5. Step 5: Solve for x
    x = 112,944,389,184/235,105
  6. Step 6: Final answer
    x = 480,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.