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Finding the Third Proportional to 173,860 and 260,142

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Solution

The third proportional to 173,860 and 260,142 is: 389,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,860 : 260,142 = 260,142 : x
  2. Step 2: Convert to fraction form
    173,860/260,142 = 260,142/x
  3. Step 3: Cross multiply
    173,860x = 260,142 × 260,142
  4. Step 4: Simplify right side
    173,860x = 67,673,860,164
  5. Step 5: Solve for x
    x = 67,673,860,164/173,860
  6. Step 6: Final answer
    x = 389,243.42

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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.