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Finding the Third Proportional to 191,882 and 268,395

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Solution

The third proportional to 191,882 and 268,395 is: 375,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,882 : 268,395 = 268,395 : x
  2. Step 2: Convert to fraction form
    191,882/268,395 = 268,395/x
  3. Step 3: Cross multiply
    191,882x = 268,395 × 268,395
  4. Step 4: Simplify right side
    191,882x = 72,035,876,025
  5. Step 5: Solve for x
    x = 72,035,876,025/191,882
  6. Step 6: Final answer
    x = 375,417.58

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Why These Related Problems?

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