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Finding the Third Proportional to 140,467.50 and 215,416.13

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Solution

The third proportional to 140,467.50 and 215,416.13 is: 330,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,467.50 : 215,416.13 = 215,416.13 : x
  2. Step 2: Convert to fraction form
    140,467.50/215,416.13 = 215,416.13/x
  3. Step 3: Cross multiply
    140,467.50x = 215,416.13 × 215,416.13
  4. Step 4: Simplify right side
    140,467.50x = 46,404,106,910.02
  5. Step 5: Solve for x
    x = 46,404,106,910.02/140,467.50
  6. Step 6: Final answer
    x = 330,354.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.