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Finding the Third Proportional to 191,505 and 268,354.13

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Solution

The third proportional to 191,505 and 268,354.13 is: 376,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,505 : 268,354.13 = 268,354.13 : x
  2. Step 2: Convert to fraction form
    191,505/268,354.13 = 268,354.13/x
  3. Step 3: Cross multiply
    191,505x = 268,354.13 × 268,354.13
  4. Step 4: Simplify right side
    191,505x = 72,013,936,404.52
  5. Step 5: Solve for x
    x = 72,013,936,404.52/191,505
  6. Step 6: Final answer
    x = 376,042.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.