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Finding the Third Proportional to 278,212.50 and 436,900.50

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Solution

The third proportional to 278,212.50 and 436,900.50 is: 686,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,212.50 : 436,900.50 = 436,900.50 : x
  2. Step 2: Convert to fraction form
    278,212.50/436,900.50 = 436,900.50/x
  3. Step 3: Cross multiply
    278,212.50x = 436,900.50 × 436,900.50
  4. Step 4: Simplify right side
    278,212.50x = 190,882,046,900.25
  5. Step 5: Solve for x
    x = 190,882,046,900.25/278,212.50
  6. Step 6: Final answer
    x = 686,101.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.