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Finding the Third Proportional to 214,177.50 and 300,853.50

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Solution

The third proportional to 214,177.50 and 300,853.50 is: 422,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,177.50 : 300,853.50 = 300,853.50 : x
  2. Step 2: Convert to fraction form
    214,177.50/300,853.50 = 300,853.50/x
  3. Step 3: Cross multiply
    214,177.50x = 300,853.50 × 300,853.50
  4. Step 4: Simplify right side
    214,177.50x = 90,512,828,462.25
  5. Step 5: Solve for x
    x = 90,512,828,462.25/214,177.50
  6. Step 6: Final answer
    x = 422,606.62

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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.