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Finding the Third Proportional to 140,933 and 218,127

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Solution

The third proportional to 140,933 and 218,127 is: 337,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,933 : 218,127 = 218,127 : x
  2. Step 2: Convert to fraction form
    140,933/218,127 = 218,127/x
  3. Step 3: Cross multiply
    140,933x = 218,127 × 218,127
  4. Step 4: Simplify right side
    140,933x = 47,579,388,129
  5. Step 5: Solve for x
    x = 47,579,388,129/140,933
  6. Step 6: Final answer
    x = 337,602.89

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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.