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Finding the Third Proportional to 138,309.75 and 206,578.50

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Solution

The third proportional to 138,309.75 and 206,578.50 is: 308,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,309.75 : 206,578.50 = 206,578.50 : x
  2. Step 2: Convert to fraction form
    138,309.75/206,578.50 = 206,578.50/x
  3. Step 3: Cross multiply
    138,309.75x = 206,578.50 × 206,578.50
  4. Step 4: Simplify right side
    138,309.75x = 42,674,676,662.25
  5. Step 5: Solve for x
    x = 42,674,676,662.25/138,309.75
  6. Step 6: Final answer
    x = 308,544.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.