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Finding the Third Proportional to 191,842 and 300,279

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Solution

The third proportional to 191,842 and 300,279 is: 470,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,842 : 300,279 = 300,279 : x
  2. Step 2: Convert to fraction form
    191,842/300,279 = 300,279/x
  3. Step 3: Cross multiply
    191,842x = 300,279 × 300,279
  4. Step 4: Simplify right side
    191,842x = 90,167,477,841
  5. Step 5: Solve for x
    x = 90,167,477,841/191,842
  6. Step 6: Final answer
    x = 470,009.06

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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.