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Finding the Third Proportional to 206,415 and 341,623

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Solution

The third proportional to 206,415 and 341,623 is: 565,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415 : 341,623 = 341,623 : x
  2. Step 2: Convert to fraction form
    206,415/341,623 = 341,623/x
  3. Step 3: Cross multiply
    206,415x = 341,623 × 341,623
  4. Step 4: Simplify right side
    206,415x = 116,706,274,129
  5. Step 5: Solve for x
    x = 116,706,274,129/206,415
  6. Step 6: Final answer
    x = 565,396.28

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.