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Finding the Third Proportional to 186,203 and 279,243

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Solution

The third proportional to 186,203 and 279,243 is: 418,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,203 : 279,243 = 279,243 : x
  2. Step 2: Convert to fraction form
    186,203/279,243 = 279,243/x
  3. Step 3: Cross multiply
    186,203x = 279,243 × 279,243
  4. Step 4: Simplify right side
    186,203x = 77,976,653,049
  5. Step 5: Solve for x
    x = 77,976,653,049/186,203
  6. Step 6: Final answer
    x = 418,772.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.