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Finding the Third Proportional to 215,416.50 and 301,866.50

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Solution

The third proportional to 215,416.50 and 301,866.50 is: 423,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,416.50 : 301,866.50 = 301,866.50 : x
  2. Step 2: Convert to fraction form
    215,416.50/301,866.50 = 301,866.50/x
  3. Step 3: Cross multiply
    215,416.50x = 301,866.50 × 301,866.50
  4. Step 4: Simplify right side
    215,416.50x = 91,123,383,822.25
  5. Step 5: Solve for x
    x = 91,123,383,822.25/215,416.50
  6. Step 6: Final answer
    x = 423,010.23

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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.