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Finding the Third Proportional to 191,822 and 300,905

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Solution

The third proportional to 191,822 and 300,905 is: 472,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,822 : 300,905 = 300,905 : x
  2. Step 2: Convert to fraction form
    191,822/300,905 = 300,905/x
  3. Step 3: Cross multiply
    191,822x = 300,905 × 300,905
  4. Step 4: Simplify right side
    191,822x = 90,543,819,025
  5. Step 5: Solve for x
    x = 90,543,819,025/191,822
  6. Step 6: Final answer
    x = 472,019.99

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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.