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Finding the Third Proportional to 191,858 and 300,310

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Solution

The third proportional to 191,858 and 300,310 is: 470,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,858 : 300,310 = 300,310 : x
  2. Step 2: Convert to fraction form
    191,858/300,310 = 300,310/x
  3. Step 3: Cross multiply
    191,858x = 300,310 × 300,310
  4. Step 4: Simplify right side
    191,858x = 90,186,096,100
  5. Step 5: Solve for x
    x = 90,186,096,100/191,858
  6. Step 6: Final answer
    x = 470,066.90

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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.