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Finding the Third Proportional to 185,914.50 and 401,347

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Solution

The third proportional to 185,914.50 and 401,347 is: 866,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,914.50 : 401,347 = 401,347 : x
  2. Step 2: Convert to fraction form
    185,914.50/401,347 = 401,347/x
  3. Step 3: Cross multiply
    185,914.50x = 401,347 × 401,347
  4. Step 4: Simplify right side
    185,914.50x = 161,079,414,409
  5. Step 5: Solve for x
    x = 161,079,414,409/185,914.50
  6. Step 6: Final answer
    x = 866,416.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.