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Finding the Third Proportional to 186,945 and 408,882

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Solution

The third proportional to 186,945 and 408,882 is: 894,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,945 : 408,882 = 408,882 : x
  2. Step 2: Convert to fraction form
    186,945/408,882 = 408,882/x
  3. Step 3: Cross multiply
    186,945x = 408,882 × 408,882
  4. Step 4: Simplify right side
    186,945x = 167,184,489,924
  5. Step 5: Solve for x
    x = 167,184,489,924/186,945
  6. Step 6: Final answer
    x = 894,297.73

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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.