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Finding the Third Proportional to 191,738.25 and 300,123

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Solution

The third proportional to 191,738.25 and 300,123 is: 469,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,738.25 : 300,123 = 300,123 : x
  2. Step 2: Convert to fraction form
    191,738.25/300,123 = 300,123/x
  3. Step 3: Cross multiply
    191,738.25x = 300,123 × 300,123
  4. Step 4: Simplify right side
    191,738.25x = 90,073,815,129
  5. Step 5: Solve for x
    x = 90,073,815,129/191,738.25
  6. Step 6: Final answer
    x = 469,774.89

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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.