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Finding the Third Proportional to 197,164 and 418,938

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Solution

The third proportional to 197,164 and 418,938 is: 890,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,164 : 418,938 = 418,938 : x
  2. Step 2: Convert to fraction form
    197,164/418,938 = 418,938/x
  3. Step 3: Cross multiply
    197,164x = 418,938 × 418,938
  4. Step 4: Simplify right side
    197,164x = 175,509,047,844
  5. Step 5: Solve for x
    x = 175,509,047,844/197,164
  6. Step 6: Final answer
    x = 890,167.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.