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Finding the Third Proportional to 143,521.88 and 205,441.31

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Solution

The third proportional to 143,521.88 and 205,441.31 is: 294,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,521.88 : 205,441.31 = 205,441.31 : x
  2. Step 2: Convert to fraction form
    143,521.88/205,441.31 = 205,441.31/x
  3. Step 3: Cross multiply
    143,521.88x = 205,441.31 × 205,441.31
  4. Step 4: Simplify right side
    143,521.88x = 42,206,132,881.72
  5. Step 5: Solve for x
    x = 42,206,132,881.72/143,521.88
  6. Step 6: Final answer
    x = 294,074.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.