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Finding the Third Proportional to 201,339 and 434,207.25

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Solution

The third proportional to 201,339 and 434,207.25 is: 936,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,339 : 434,207.25 = 434,207.25 : x
  2. Step 2: Convert to fraction form
    201,339/434,207.25 = 434,207.25/x
  3. Step 3: Cross multiply
    201,339x = 434,207.25 × 434,207.25
  4. Step 4: Simplify right side
    201,339x = 188,535,935,952.56
  5. Step 5: Solve for x
    x = 188,535,935,952.56/201,339
  6. Step 6: Final answer
    x = 936,410.41

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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.