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Finding the Third Proportional to 173,157.75 and 260,239.50

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Solution

The third proportional to 173,157.75 and 260,239.50 is: 391,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,157.75 : 260,239.50 = 260,239.50 : x
  2. Step 2: Convert to fraction form
    173,157.75/260,239.50 = 260,239.50/x
  3. Step 3: Cross multiply
    173,157.75x = 260,239.50 × 260,239.50
  4. Step 4: Simplify right side
    173,157.75x = 67,724,597,360.25
  5. Step 5: Solve for x
    x = 67,724,597,360.25/173,157.75
  6. Step 6: Final answer
    x = 391,115.02

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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.