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Finding the Third Proportional to 155,236.50 and 317,034

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Solution

The third proportional to 155,236.50 and 317,034 is: 647,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,236.50 : 317,034 = 317,034 : x
  2. Step 2: Convert to fraction form
    155,236.50/317,034 = 317,034/x
  3. Step 3: Cross multiply
    155,236.50x = 317,034 × 317,034
  4. Step 4: Simplify right side
    155,236.50x = 100,510,557,156
  5. Step 5: Solve for x
    x = 100,510,557,156/155,236.50
  6. Step 6: Final answer
    x = 647,467.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.