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Finding the Third Proportional to 215,869.50 and 301,947.75

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Solution

The third proportional to 215,869.50 and 301,947.75 is: 422,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,869.50 : 301,947.75 = 301,947.75 : x
  2. Step 2: Convert to fraction form
    215,869.50/301,947.75 = 301,947.75/x
  3. Step 3: Cross multiply
    215,869.50x = 301,947.75 × 301,947.75
  4. Step 4: Simplify right side
    215,869.50x = 91,172,443,730.06
  5. Step 5: Solve for x
    x = 91,172,443,730.06/215,869.50
  6. Step 6: Final answer
    x = 422,349.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.