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Finding the Third Proportional to 193,543 and 418,227

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Solution

The third proportional to 193,543 and 418,227 is: 903,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,543 : 418,227 = 418,227 : x
  2. Step 2: Convert to fraction form
    193,543/418,227 = 418,227/x
  3. Step 3: Cross multiply
    193,543x = 418,227 × 418,227
  4. Step 4: Simplify right side
    193,543x = 174,913,823,529
  5. Step 5: Solve for x
    x = 174,913,823,529/193,543
  6. Step 6: Final answer
    x = 903,746.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.