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Finding the Third Proportional to 140,913 and 217,930.50

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Solution

The third proportional to 140,913 and 217,930.50 is: 337,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,913 : 217,930.50 = 217,930.50 : x
  2. Step 2: Convert to fraction form
    140,913/217,930.50 = 217,930.50/x
  3. Step 3: Cross multiply
    140,913x = 217,930.50 × 217,930.50
  4. Step 4: Simplify right side
    140,913x = 47,493,702,830.25
  5. Step 5: Solve for x
    x = 47,493,702,830.25/140,913
  6. Step 6: Final answer
    x = 337,042.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.