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Finding the Third Proportional to 136,304 and 206,916

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Solution

The third proportional to 136,304 and 206,916 is: 314,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,304 : 206,916 = 206,916 : x
  2. Step 2: Convert to fraction form
    136,304/206,916 = 206,916/x
  3. Step 3: Cross multiply
    136,304x = 206,916 × 206,916
  4. Step 4: Simplify right side
    136,304x = 42,814,231,056
  5. Step 5: Solve for x
    x = 42,814,231,056/136,304
  6. Step 6: Final answer
    x = 314,108.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.