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Finding the Third Proportional to 186,906 and 279,583

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Solution

The third proportional to 186,906 and 279,583 is: 418,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906 : 279,583 = 279,583 : x
  2. Step 2: Convert to fraction form
    186,906/279,583 = 279,583/x
  3. Step 3: Cross multiply
    186,906x = 279,583 × 279,583
  4. Step 4: Simplify right side
    186,906x = 78,166,653,889
  5. Step 5: Solve for x
    x = 78,166,653,889/186,906
  6. Step 6: Final answer
    x = 418,213.72

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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.