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Finding the Third Proportional to 194,380 and 317,405

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Solution

The third proportional to 194,380 and 317,405 is: 518,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,380 : 317,405 = 317,405 : x
  2. Step 2: Convert to fraction form
    194,380/317,405 = 317,405/x
  3. Step 3: Cross multiply
    194,380x = 317,405 × 317,405
  4. Step 4: Simplify right side
    194,380x = 100,745,934,025
  5. Step 5: Solve for x
    x = 100,745,934,025/194,380
  6. Step 6: Final answer
    x = 518,293.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.