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Finding the Third Proportional to 193,126 and 418,410

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Solution

The third proportional to 193,126 and 418,410 is: 906,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,126 : 418,410 = 418,410 : x
  2. Step 2: Convert to fraction form
    193,126/418,410 = 418,410/x
  3. Step 3: Cross multiply
    193,126x = 418,410 × 418,410
  4. Step 4: Simplify right side
    193,126x = 175,066,928,100
  5. Step 5: Solve for x
    x = 175,066,928,100/193,126
  6. Step 6: Final answer
    x = 906,490.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.