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Finding the Third Proportional to 172,238 and 365,324

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Solution

The third proportional to 172,238 and 365,324 is: 774,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,238 : 365,324 = 365,324 : x
  2. Step 2: Convert to fraction form
    172,238/365,324 = 365,324/x
  3. Step 3: Cross multiply
    172,238x = 365,324 × 365,324
  4. Step 4: Simplify right side
    172,238x = 133,461,624,976
  5. Step 5: Solve for x
    x = 133,461,624,976/172,238
  6. Step 6: Final answer
    x = 774,867.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.