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Finding the Third Proportional to 186,993 and 405,332

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Solution

The third proportional to 186,993 and 405,332 is: 878,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,993 : 405,332 = 405,332 : x
  2. Step 2: Convert to fraction form
    186,993/405,332 = 405,332/x
  3. Step 3: Cross multiply
    186,993x = 405,332 × 405,332
  4. Step 4: Simplify right side
    186,993x = 164,294,030,224
  5. Step 5: Solve for x
    x = 164,294,030,224/186,993
  6. Step 6: Final answer
    x = 878,610.59

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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.