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Finding the Third Proportional to 191,910 and 268,364

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Solution

The third proportional to 191,910 and 268,364 is: 375,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,910 : 268,364 = 268,364 : x
  2. Step 2: Convert to fraction form
    191,910/268,364 = 268,364/x
  3. Step 3: Cross multiply
    191,910x = 268,364 × 268,364
  4. Step 4: Simplify right side
    191,910x = 72,019,236,496
  5. Step 5: Solve for x
    x = 72,019,236,496/191,910
  6. Step 6: Final answer
    x = 375,276.10

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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.