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Finding the Third Proportional to 220,923 and 337,808.25

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Solution

The third proportional to 220,923 and 337,808.25 is: 516,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,923 : 337,808.25 = 337,808.25 : x
  2. Step 2: Convert to fraction form
    220,923/337,808.25 = 337,808.25/x
  3. Step 3: Cross multiply
    220,923x = 337,808.25 × 337,808.25
  4. Step 4: Simplify right side
    220,923x = 114,114,413,768.06
  5. Step 5: Solve for x
    x = 114,114,413,768.06/220,923
  6. Step 6: Final answer
    x = 516,534.78

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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.