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Finding the Third Proportional to 186,474 and 408,214

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Solution

The third proportional to 186,474 and 408,214 is: 893,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,474 : 408,214 = 408,214 : x
  2. Step 2: Convert to fraction form
    186,474/408,214 = 408,214/x
  3. Step 3: Cross multiply
    186,474x = 408,214 × 408,214
  4. Step 4: Simplify right side
    186,474x = 166,638,669,796
  5. Step 5: Solve for x
    x = 166,638,669,796/186,474
  6. Step 6: Final answer
    x = 893,629.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.