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Finding the Third Proportional to 186,797 and 405,346

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Solution

The third proportional to 186,797 and 405,346 is: 879,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,797 : 405,346 = 405,346 : x
  2. Step 2: Convert to fraction form
    186,797/405,346 = 405,346/x
  3. Step 3: Cross multiply
    186,797x = 405,346 × 405,346
  4. Step 4: Simplify right side
    186,797x = 164,305,379,716
  5. Step 5: Solve for x
    x = 164,305,379,716/186,797
  6. Step 6: Final answer
    x = 879,593.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.