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Finding the Third Proportional to 217,743.50 and 320,207.88

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Solution

The third proportional to 217,743.50 and 320,207.88 is: 470,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,743.50 : 320,207.88 = 320,207.88 : x
  2. Step 2: Convert to fraction form
    217,743.50/320,207.88 = 320,207.88/x
  3. Step 3: Cross multiply
    217,743.50x = 320,207.88 × 320,207.88
  4. Step 4: Simplify right side
    217,743.50x = 102,533,083,212.02
  5. Step 5: Solve for x
    x = 102,533,083,212.02/217,743.50
  6. Step 6: Final answer
    x = 470,889.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.