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Finding the Third Proportional to 186,898.50 and 279,573.75

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Solution

The third proportional to 186,898.50 and 279,573.75 is: 418,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,898.50 : 279,573.75 = 279,573.75 : x
  2. Step 2: Convert to fraction form
    186,898.50/279,573.75 = 279,573.75/x
  3. Step 3: Cross multiply
    186,898.50x = 279,573.75 × 279,573.75
  4. Step 4: Simplify right side
    186,898.50x = 78,161,481,689.06
  5. Step 5: Solve for x
    x = 78,161,481,689.06/186,898.50
  6. Step 6: Final answer
    x = 418,202.83

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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.