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Finding the Third Proportional to 196,613.75 and 430,023.75

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Solution

The third proportional to 196,613.75 and 430,023.75 is: 940,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,613.75 : 430,023.75 = 430,023.75 : x
  2. Step 2: Convert to fraction form
    196,613.75/430,023.75 = 430,023.75/x
  3. Step 3: Cross multiply
    196,613.75x = 430,023.75 × 430,023.75
  4. Step 4: Simplify right side
    196,613.75x = 184,920,425,564.06
  5. Step 5: Solve for x
    x = 184,920,425,564.06/196,613.75
  6. Step 6: Final answer
    x = 940,526.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.