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Finding the Third Proportional to 136,736 and 206,990.50

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Solution

The third proportional to 136,736 and 206,990.50 is: 313,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,736 : 206,990.50 = 206,990.50 : x
  2. Step 2: Convert to fraction form
    136,736/206,990.50 = 206,990.50/x
  3. Step 3: Cross multiply
    136,736x = 206,990.50 × 206,990.50
  4. Step 4: Simplify right side
    136,736x = 42,845,067,090.25
  5. Step 5: Solve for x
    x = 42,845,067,090.25/136,736
  6. Step 6: Final answer
    x = 313,341.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.