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Finding the Third Proportional to 191,392 and 273,966

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Solution

The third proportional to 191,392 and 273,966 is: 392,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,392 : 273,966 = 273,966 : x
  2. Step 2: Convert to fraction form
    191,392/273,966 = 273,966/x
  3. Step 3: Cross multiply
    191,392x = 273,966 × 273,966
  4. Step 4: Simplify right side
    191,392x = 75,057,369,156
  5. Step 5: Solve for x
    x = 75,057,369,156/191,392
  6. Step 6: Final answer
    x = 392,165.66

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Why These Related Problems?

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