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Finding the Third Proportional to 186,832 and 386,960

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Solution

The third proportional to 186,832 and 386,960 is: 801,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,832 : 386,960 = 386,960 : x
  2. Step 2: Convert to fraction form
    186,832/386,960 = 386,960/x
  3. Step 3: Cross multiply
    186,832x = 386,960 × 386,960
  4. Step 4: Simplify right side
    186,832x = 149,738,041,600
  5. Step 5: Solve for x
    x = 149,738,041,600/186,832
  6. Step 6: Final answer
    x = 801,458.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.