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Finding the Third Proportional to 191,475.75 and 268,317.75

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Solution

The third proportional to 191,475.75 and 268,317.75 is: 375,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,475.75 : 268,317.75 = 268,317.75 : x
  2. Step 2: Convert to fraction form
    191,475.75/268,317.75 = 268,317.75/x
  3. Step 3: Cross multiply
    191,475.75x = 268,317.75 × 268,317.75
  4. Step 4: Simplify right side
    191,475.75x = 71,994,414,965.06
  5. Step 5: Solve for x
    x = 71,994,414,965.06/191,475.75
  6. Step 6: Final answer
    x = 375,997.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.