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Finding the Third Proportional to 74,966 and 163,324

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Solution

The third proportional to 74,966 and 163,324 is: 355,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,966 : 163,324 = 163,324 : x
  2. Step 2: Convert to fraction form
    74,966/163,324 = 163,324/x
  3. Step 3: Cross multiply
    74,966x = 163,324 × 163,324
  4. Step 4: Simplify right side
    74,966x = 26,674,728,976
  5. Step 5: Solve for x
    x = 26,674,728,976/74,966
  6. Step 6: Final answer
    x = 355,824.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.