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Finding the Third Proportional to 196,755 and 430,212

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Solution

The third proportional to 196,755 and 430,212 is: 940,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,755 : 430,212 = 430,212 : x
  2. Step 2: Convert to fraction form
    196,755/430,212 = 430,212/x
  3. Step 3: Cross multiply
    196,755x = 430,212 × 430,212
  4. Step 4: Simplify right side
    196,755x = 185,082,364,944
  5. Step 5: Solve for x
    x = 185,082,364,944/196,755
  6. Step 6: Final answer
    x = 940,674.26

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Why These Related Problems?

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