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Finding the Third Proportional to 147,588.75 and 322,879.50

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Solution

The third proportional to 147,588.75 and 322,879.50 is: 706,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,588.75 : 322,879.50 = 322,879.50 : x
  2. Step 2: Convert to fraction form
    147,588.75/322,879.50 = 322,879.50/x
  3. Step 3: Cross multiply
    147,588.75x = 322,879.50 × 322,879.50
  4. Step 4: Simplify right side
    147,588.75x = 104,251,171,520.25
  5. Step 5: Solve for x
    x = 104,251,171,520.25/147,588.75
  6. Step 6: Final answer
    x = 706,362.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.