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Finding the Third Proportional to 237,816 and 317,034

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Solution

The third proportional to 237,816 and 317,034 is: 422,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,816 : 317,034 = 317,034 : x
  2. Step 2: Convert to fraction form
    237,816/317,034 = 317,034/x
  3. Step 3: Cross multiply
    237,816x = 317,034 × 317,034
  4. Step 4: Simplify right side
    237,816x = 100,510,557,156
  5. Step 5: Solve for x
    x = 100,510,557,156/237,816
  6. Step 6: Final answer
    x = 422,640.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.