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Finding the Third Proportional to 215,889 and 323,857.50

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Solution

The third proportional to 215,889 and 323,857.50 is: 485,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,889 : 323,857.50 = 323,857.50 : x
  2. Step 2: Convert to fraction form
    215,889/323,857.50 = 323,857.50/x
  3. Step 3: Cross multiply
    215,889x = 323,857.50 × 323,857.50
  4. Step 4: Simplify right side
    215,889x = 104,883,680,306.25
  5. Step 5: Solve for x
    x = 104,883,680,306.25/215,889
  6. Step 6: Final answer
    x = 485,822.25

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