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Finding the Third Proportional to 185,824 and 401,452

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Solution

The third proportional to 185,824 and 401,452 is: 867,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,824 : 401,452 = 401,452 : x
  2. Step 2: Convert to fraction form
    185,824/401,452 = 401,452/x
  3. Step 3: Cross multiply
    185,824x = 401,452 × 401,452
  4. Step 4: Simplify right side
    185,824x = 161,163,708,304
  5. Step 5: Solve for x
    x = 161,163,708,304/185,824
  6. Step 6: Final answer
    x = 867,292.21

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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.