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Finding the Third Proportional to 231,590.39 and 334,466.72

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Solution

The third proportional to 231,590.39 and 334,466.72 is: 483,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,590.39 : 334,466.72 = 334,466.72 : x
  2. Step 2: Convert to fraction form
    231,590.39/334,466.72 = 334,466.72/x
  3. Step 3: Cross multiply
    231,590.39x = 334,466.72 × 334,466.72
  4. Step 4: Simplify right side
    231,590.39x = 111,867,985,951.39
  5. Step 5: Solve for x
    x = 111,867,985,951.39/231,590.39
  6. Step 6: Final answer
    x = 483,042.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.