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Finding the Third Proportional to 202,214 and 291,293

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Solution

The third proportional to 202,214 and 291,293 is: 419,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214 : 291,293 = 291,293 : x
  2. Step 2: Convert to fraction form
    202,214/291,293 = 291,293/x
  3. Step 3: Cross multiply
    202,214x = 291,293 × 291,293
  4. Step 4: Simplify right side
    202,214x = 84,851,611,849
  5. Step 5: Solve for x
    x = 84,851,611,849/202,214
  6. Step 6: Final answer
    x = 419,612.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.