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Finding the Third Proportional to 191,451 and 274,033.50

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Solution

The third proportional to 191,451 and 274,033.50 is: 392,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,451 : 274,033.50 = 274,033.50 : x
  2. Step 2: Convert to fraction form
    191,451/274,033.50 = 274,033.50/x
  3. Step 3: Cross multiply
    191,451x = 274,033.50 × 274,033.50
  4. Step 4: Simplify right side
    191,451x = 75,094,359,122.25
  5. Step 5: Solve for x
    x = 75,094,359,122.25/191,451
  6. Step 6: Final answer
    x = 392,238.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.