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Finding the Third Proportional to 162,059 and 245,324

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Solution

The third proportional to 162,059 and 245,324 is: 371,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,059 : 245,324 = 245,324 : x
  2. Step 2: Convert to fraction form
    162,059/245,324 = 245,324/x
  3. Step 3: Cross multiply
    162,059x = 245,324 × 245,324
  4. Step 4: Simplify right side
    162,059x = 60,183,864,976
  5. Step 5: Solve for x
    x = 60,183,864,976/162,059
  6. Step 6: Final answer
    x = 371,370.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.