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Finding the Third Proportional to 173,145 and 262,018

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Solution

The third proportional to 173,145 and 262,018 is: 396,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,145 : 262,018 = 262,018 : x
  2. Step 2: Convert to fraction form
    173,145/262,018 = 262,018/x
  3. Step 3: Cross multiply
    173,145x = 262,018 × 262,018
  4. Step 4: Simplify right side
    173,145x = 68,653,432,324
  5. Step 5: Solve for x
    x = 68,653,432,324/173,145
  6. Step 6: Final answer
    x = 396,508.32

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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.