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Finding the Third Proportional to 191,744 and 300,806

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Solution

The third proportional to 191,744 and 300,806 is: 471,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,744 : 300,806 = 300,806 : x
  2. Step 2: Convert to fraction form
    191,744/300,806 = 300,806/x
  3. Step 3: Cross multiply
    191,744x = 300,806 × 300,806
  4. Step 4: Simplify right side
    191,744x = 90,484,249,636
  5. Step 5: Solve for x
    x = 90,484,249,636/191,744
  6. Step 6: Final answer
    x = 471,901.34

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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.