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Finding the Third Proportional to 201,352 and 434,227

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Solution

The third proportional to 201,352 and 434,227 is: 936,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352 : 434,227 = 434,227 : x
  2. Step 2: Convert to fraction form
    201,352/434,227 = 434,227/x
  3. Step 3: Cross multiply
    201,352x = 434,227 × 434,227
  4. Step 4: Simplify right side
    201,352x = 188,553,087,529
  5. Step 5: Solve for x
    x = 188,553,087,529/201,352
  6. Step 6: Final answer
    x = 936,435.14

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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.