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Finding the Third Proportional to 191,820.75 and 300,924

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Solution

The third proportional to 191,820.75 and 300,924 is: 472,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,820.75 : 300,924 = 300,924 : x
  2. Step 2: Convert to fraction form
    191,820.75/300,924 = 300,924/x
  3. Step 3: Cross multiply
    191,820.75x = 300,924 × 300,924
  4. Step 4: Simplify right side
    191,820.75x = 90,555,253,776
  5. Step 5: Solve for x
    x = 90,555,253,776/191,820.75
  6. Step 6: Final answer
    x = 472,082.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.