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Finding the Third Proportional to 173,115.25 and 258,980.75

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Solution

The third proportional to 173,115.25 and 258,980.75 is: 387,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,115.25 : 258,980.75 = 258,980.75 : x
  2. Step 2: Convert to fraction form
    173,115.25/258,980.75 = 258,980.75/x
  3. Step 3: Cross multiply
    173,115.25x = 258,980.75 × 258,980.75
  4. Step 4: Simplify right side
    173,115.25x = 67,071,028,870.56
  5. Step 5: Solve for x
    x = 67,071,028,870.56/173,115.25
  6. Step 6: Final answer
    x = 387,435.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.