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Finding the Third Proportional to 185,805 and 401,417

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Solution

The third proportional to 185,805 and 401,417 is: 867,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,805 : 401,417 = 401,417 : x
  2. Step 2: Convert to fraction form
    185,805/401,417 = 401,417/x
  3. Step 3: Cross multiply
    185,805x = 401,417 × 401,417
  4. Step 4: Simplify right side
    185,805x = 161,135,607,889
  5. Step 5: Solve for x
    x = 161,135,607,889/185,805
  6. Step 6: Final answer
    x = 867,229.66

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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.