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Finding the Third Proportional to 188,632 and 404,258

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Solution

The third proportional to 188,632 and 404,258 is: 866,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,632 : 404,258 = 404,258 : x
  2. Step 2: Convert to fraction form
    188,632/404,258 = 404,258/x
  3. Step 3: Cross multiply
    188,632x = 404,258 × 404,258
  4. Step 4: Simplify right side
    188,632x = 163,424,530,564
  5. Step 5: Solve for x
    x = 163,424,530,564/188,632
  6. Step 6: Final answer
    x = 866,366.95

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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.