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Finding the Third Proportional to 207,921 and 321,817.50

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Solution

The third proportional to 207,921 and 321,817.50 is: 498,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,921 : 321,817.50 = 321,817.50 : x
  2. Step 2: Convert to fraction form
    207,921/321,817.50 = 321,817.50/x
  3. Step 3: Cross multiply
    207,921x = 321,817.50 × 321,817.50
  4. Step 4: Simplify right side
    207,921x = 103,566,503,306.25
  5. Step 5: Solve for x
    x = 103,566,503,306.25/207,921
  6. Step 6: Final answer
    x = 498,105.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.