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Finding the Third Proportional to 191,790 and 300,862

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Solution

The third proportional to 191,790 and 300,862 is: 471,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,790 : 300,862 = 300,862 : x
  2. Step 2: Convert to fraction form
    191,790/300,862 = 300,862/x
  3. Step 3: Cross multiply
    191,790x = 300,862 × 300,862
  4. Step 4: Simplify right side
    191,790x = 90,517,943,044
  5. Step 5: Solve for x
    x = 90,517,943,044/191,790
  6. Step 6: Final answer
    x = 471,963.83

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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.