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Finding the Third Proportional to 92,378 and 197,392

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Solution

The third proportional to 92,378 and 197,392 is: 421,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378 : 197,392 = 197,392 : x
  2. Step 2: Convert to fraction form
    92,378/197,392 = 197,392/x
  3. Step 3: Cross multiply
    92,378x = 197,392 × 197,392
  4. Step 4: Simplify right side
    92,378x = 38,963,601,664
  5. Step 5: Solve for x
    x = 38,963,601,664/92,378
  6. Step 6: Final answer
    x = 421,784.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.