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Finding the Third Proportional to 196,273 and 425,738

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Solution

The third proportional to 196,273 and 425,738 is: 923,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,273 : 425,738 = 425,738 : x
  2. Step 2: Convert to fraction form
    196,273/425,738 = 425,738/x
  3. Step 3: Cross multiply
    196,273x = 425,738 × 425,738
  4. Step 4: Simplify right side
    196,273x = 181,252,844,644
  5. Step 5: Solve for x
    x = 181,252,844,644/196,273
  6. Step 6: Final answer
    x = 923,473.15

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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.