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Finding the Third Proportional to 133,509.75 and 206,656.75

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Solution

The third proportional to 133,509.75 and 206,656.75 is: 319,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509.75 : 206,656.75 = 206,656.75 : x
  2. Step 2: Convert to fraction form
    133,509.75/206,656.75 = 206,656.75/x
  3. Step 3: Cross multiply
    133,509.75x = 206,656.75 × 206,656.75
  4. Step 4: Simplify right side
    133,509.75x = 42,707,012,320.56
  5. Step 5: Solve for x
    x = 42,707,012,320.56/133,509.75
  6. Step 6: Final answer
    x = 319,879.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.