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Finding the Third Proportional to 190,296 and 413,397

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Solution

The third proportional to 190,296 and 413,397 is: 898,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 413,397 = 413,397 : x
  2. Step 2: Convert to fraction form
    190,296/413,397 = 413,397/x
  3. Step 3: Cross multiply
    190,296x = 413,397 × 413,397
  4. Step 4: Simplify right side
    190,296x = 170,897,079,609
  5. Step 5: Solve for x
    x = 170,897,079,609/190,296
  6. Step 6: Final answer
    x = 898,059.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.