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Finding the Third Proportional to 140,203.50 and 211,977.75

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Solution

The third proportional to 140,203.50 and 211,977.75 is: 320,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.50 : 211,977.75 = 211,977.75 : x
  2. Step 2: Convert to fraction form
    140,203.50/211,977.75 = 211,977.75/x
  3. Step 3: Cross multiply
    140,203.50x = 211,977.75 × 211,977.75
  4. Step 4: Simplify right side
    140,203.50x = 44,934,566,495.06
  5. Step 5: Solve for x
    x = 44,934,566,495.06/140,203.50
  6. Step 6: Final answer
    x = 320,495.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.