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Finding the Third Proportional to 196,437 and 418,631.25

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Solution

The third proportional to 196,437 and 418,631.25 is: 892,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,437 : 418,631.25 = 418,631.25 : x
  2. Step 2: Convert to fraction form
    196,437/418,631.25 = 418,631.25/x
  3. Step 3: Cross multiply
    196,437x = 418,631.25 × 418,631.25
  4. Step 4: Simplify right side
    196,437x = 175,252,123,476.56
  5. Step 5: Solve for x
    x = 175,252,123,476.56/196,437
  6. Step 6: Final answer
    x = 892,154.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.