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Finding the Third Proportional to 186,966 and 405,468

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Solution

The third proportional to 186,966 and 405,468 is: 879,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,966 : 405,468 = 405,468 : x
  2. Step 2: Convert to fraction form
    186,966/405,468 = 405,468/x
  3. Step 3: Cross multiply
    186,966x = 405,468 × 405,468
  4. Step 4: Simplify right side
    186,966x = 164,404,299,024
  5. Step 5: Solve for x
    x = 164,404,299,024/186,966
  6. Step 6: Final answer
    x = 879,327.25

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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.