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Finding the Third Proportional to 191,412 and 268,226

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Solution

The third proportional to 191,412 and 268,226 is: 375,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,412 : 268,226 = 268,226 : x
  2. Step 2: Convert to fraction form
    191,412/268,226 = 268,226/x
  3. Step 3: Cross multiply
    191,412x = 268,226 × 268,226
  4. Step 4: Simplify right side
    191,412x = 71,945,187,076
  5. Step 5: Solve for x
    x = 71,945,187,076/191,412
  6. Step 6: Final answer
    x = 375,865.60

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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.