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Finding the Third Proportional to 191,465.44 and 317,997.56

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Solution

The third proportional to 191,465.44 and 317,997.56 is: 528,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,465.44 : 317,997.56 = 317,997.56 : x
  2. Step 2: Convert to fraction form
    191,465.44/317,997.56 = 317,997.56/x
  3. Step 3: Cross multiply
    191,465.44x = 317,997.56 × 317,997.56
  4. Step 4: Simplify right side
    191,465.44x = 101,122,449,755.94
  5. Step 5: Solve for x
    x = 101,122,449,755.94/191,465.44
  6. Step 6: Final answer
    x = 528,149.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.