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Finding the Third Proportional to 188,119.13 and 401,753.25

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Solution

The third proportional to 188,119.13 and 401,753.25 is: 857,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,119.13 : 401,753.25 = 401,753.25 : x
  2. Step 2: Convert to fraction form
    188,119.13/401,753.25 = 401,753.25/x
  3. Step 3: Cross multiply
    188,119.13x = 401,753.25 × 401,753.25
  4. Step 4: Simplify right side
    188,119.13x = 161,405,673,885.56
  5. Step 5: Solve for x
    x = 161,405,673,885.56/188,119.13
  6. Step 6: Final answer
    x = 857,997.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.