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Finding the Third Proportional to 140,014 and 215,205

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Solution

The third proportional to 140,014 and 215,205 is: 330,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,014 : 215,205 = 215,205 : x
  2. Step 2: Convert to fraction form
    140,014/215,205 = 215,205/x
  3. Step 3: Cross multiply
    140,014x = 215,205 × 215,205
  4. Step 4: Simplify right side
    140,014x = 46,313,192,025
  5. Step 5: Solve for x
    x = 46,313,192,025/140,014
  6. Step 6: Final answer
    x = 330,775.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.