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Finding the Third Proportional to 186,976 and 408,224

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Solution

The third proportional to 186,976 and 408,224 is: 891,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,976 : 408,224 = 408,224 : x
  2. Step 2: Convert to fraction form
    186,976/408,224 = 408,224/x
  3. Step 3: Cross multiply
    186,976x = 408,224 × 408,224
  4. Step 4: Simplify right side
    186,976x = 166,646,834,176
  5. Step 5: Solve for x
    x = 166,646,834,176/186,976
  6. Step 6: Final answer
    x = 891,273.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.