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Finding the Third Proportional to 173,485.75 and 258,789.50

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Solution

The third proportional to 173,485.75 and 258,789.50 is: 386,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,485.75 : 258,789.50 = 258,789.50 : x
  2. Step 2: Convert to fraction form
    173,485.75/258,789.50 = 258,789.50/x
  3. Step 3: Cross multiply
    173,485.75x = 258,789.50 × 258,789.50
  4. Step 4: Simplify right side
    173,485.75x = 66,972,005,310.25
  5. Step 5: Solve for x
    x = 66,972,005,310.25/173,485.75
  6. Step 6: Final answer
    x = 386,037.50

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