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Finding the Third Proportional to 191,963 and 298,817

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Solution

The third proportional to 191,963 and 298,817 is: 465,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,963 : 298,817 = 298,817 : x
  2. Step 2: Convert to fraction form
    191,963/298,817 = 298,817/x
  3. Step 3: Cross multiply
    191,963x = 298,817 × 298,817
  4. Step 4: Simplify right side
    191,963x = 89,291,599,489
  5. Step 5: Solve for x
    x = 89,291,599,489/191,963
  6. Step 6: Final answer
    x = 465,150.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.