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Finding the Third Proportional to 159,807.50 and 355,086

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Solution

The third proportional to 159,807.50 and 355,086 is: 788,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,807.50 : 355,086 = 355,086 : x
  2. Step 2: Convert to fraction form
    159,807.50/355,086 = 355,086/x
  3. Step 3: Cross multiply
    159,807.50x = 355,086 × 355,086
  4. Step 4: Simplify right side
    159,807.50x = 126,086,067,396
  5. Step 5: Solve for x
    x = 126,086,067,396/159,807.50
  6. Step 6: Final answer
    x = 788,987.17

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.