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Finding the Third Proportional to 81,388 and 173,288

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Solution

The third proportional to 81,388 and 173,288 is: 368,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,388 : 173,288 = 173,288 : x
  2. Step 2: Convert to fraction form
    81,388/173,288 = 173,288/x
  3. Step 3: Cross multiply
    81,388x = 173,288 × 173,288
  4. Step 4: Simplify right side
    81,388x = 30,028,730,944
  5. Step 5: Solve for x
    x = 30,028,730,944/81,388
  6. Step 6: Final answer
    x = 368,957.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.