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Finding the Third Proportional to 183,361 and 386,632

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Solution

The third proportional to 183,361 and 386,632 is: 815,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,361 : 386,632 = 386,632 : x
  2. Step 2: Convert to fraction form
    183,361/386,632 = 386,632/x
  3. Step 3: Cross multiply
    183,361x = 386,632 × 386,632
  4. Step 4: Simplify right side
    183,361x = 149,484,303,424
  5. Step 5: Solve for x
    x = 149,484,303,424/183,361
  6. Step 6: Final answer
    x = 815,245.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.