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Finding the Third Proportional to 188,466 and 404,229

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Solution

The third proportional to 188,466 and 404,229 is: 867,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,466 : 404,229 = 404,229 : x
  2. Step 2: Convert to fraction form
    188,466/404,229 = 404,229/x
  3. Step 3: Cross multiply
    188,466x = 404,229 × 404,229
  4. Step 4: Simplify right side
    188,466x = 163,401,084,441
  5. Step 5: Solve for x
    x = 163,401,084,441/188,466
  6. Step 6: Final answer
    x = 867,005.64

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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.