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Finding the Third Proportional to 164,906 and 361,374

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Solution

The third proportional to 164,906 and 361,374 is: 791,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906 : 361,374 = 361,374 : x
  2. Step 2: Convert to fraction form
    164,906/361,374 = 361,374/x
  3. Step 3: Cross multiply
    164,906x = 361,374 × 361,374
  4. Step 4: Simplify right side
    164,906x = 130,591,167,876
  5. Step 5: Solve for x
    x = 130,591,167,876/164,906
  6. Step 6: Final answer
    x = 791,912.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.