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Finding the Third Proportional to 186,986 and 405,684

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Solution

The third proportional to 186,986 and 405,684 is: 880,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,986 : 405,684 = 405,684 : x
  2. Step 2: Convert to fraction form
    186,986/405,684 = 405,684/x
  3. Step 3: Cross multiply
    186,986x = 405,684 × 405,684
  4. Step 4: Simplify right side
    186,986x = 164,579,507,856
  5. Step 5: Solve for x
    x = 164,579,507,856/186,986
  6. Step 6: Final answer
    x = 880,170.22

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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.