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Finding the Third Proportional to 201,293 and 434,111

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Solution

The third proportional to 201,293 and 434,111 is: 936,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,293 : 434,111 = 434,111 : x
  2. Step 2: Convert to fraction form
    201,293/434,111 = 434,111/x
  3. Step 3: Cross multiply
    201,293x = 434,111 × 434,111
  4. Step 4: Simplify right side
    201,293x = 188,452,360,321
  5. Step 5: Solve for x
    x = 188,452,360,321/201,293
  6. Step 6: Final answer
    x = 936,209.21

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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.