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Finding the Third Proportional to 173,148 and 259,722

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Solution

The third proportional to 173,148 and 259,722 is: 389,583

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,148 : 259,722 = 259,722 : x
  2. Step 2: Convert to fraction form
    173,148/259,722 = 259,722/x
  3. Step 3: Cross multiply
    173,148x = 259,722 × 259,722
  4. Step 4: Simplify right side
    173,148x = 67,455,517,284
  5. Step 5: Solve for x
    x = 67,455,517,284/173,148
  6. Step 6: Final answer
    x = 389,583

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Why These Related Problems?

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