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Finding the Third Proportional to 194,410.50 and 317,454.75

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Solution

The third proportional to 194,410.50 and 317,454.75 is: 518,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410.50 : 317,454.75 = 317,454.75 : x
  2. Step 2: Convert to fraction form
    194,410.50/317,454.75 = 317,454.75/x
  3. Step 3: Cross multiply
    194,410.50x = 317,454.75 × 317,454.75
  4. Step 4: Simplify right side
    194,410.50x = 100,777,518,297.56
  5. Step 5: Solve for x
    x = 100,777,518,297.56/194,410.50
  6. Step 6: Final answer
    x = 518,374.87

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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.