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Finding the Third Proportional to 178,014 and 386,268

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Solution

The third proportional to 178,014 and 386,268 is: 838,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,014 : 386,268 = 386,268 : x
  2. Step 2: Convert to fraction form
    178,014/386,268 = 386,268/x
  3. Step 3: Cross multiply
    178,014x = 386,268 × 386,268
  4. Step 4: Simplify right side
    178,014x = 149,202,967,824
  5. Step 5: Solve for x
    x = 149,202,967,824/178,014
  6. Step 6: Final answer
    x = 838,153.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.