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Finding the Third Proportional to 164,110 and 386,380

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Solution

The third proportional to 164,110 and 386,380 is: 909,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,110 : 386,380 = 386,380 : x
  2. Step 2: Convert to fraction form
    164,110/386,380 = 386,380/x
  3. Step 3: Cross multiply
    164,110x = 386,380 × 386,380
  4. Step 4: Simplify right side
    164,110x = 149,289,504,400
  5. Step 5: Solve for x
    x = 149,289,504,400/164,110
  6. Step 6: Final answer
    x = 909,691.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.