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Finding the Third Proportional to 199,304 and 425,215

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Solution

The third proportional to 199,304 and 425,215 is: 907,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,304 : 425,215 = 425,215 : x
  2. Step 2: Convert to fraction form
    199,304/425,215 = 425,215/x
  3. Step 3: Cross multiply
    199,304x = 425,215 × 425,215
  4. Step 4: Simplify right side
    199,304x = 180,807,796,225
  5. Step 5: Solve for x
    x = 180,807,796,225/199,304
  6. Step 6: Final answer
    x = 907,196.02

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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.