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Finding the Third Proportional to 229,338.84 and 349,999.73

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Solution

The third proportional to 229,338.84 and 349,999.73 is: 534,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,338.84 : 349,999.73 = 349,999.73 : x
  2. Step 2: Convert to fraction form
    229,338.84/349,999.73 = 349,999.73/x
  3. Step 3: Cross multiply
    229,338.84x = 349,999.73 × 349,999.73
  4. Step 4: Simplify right side
    229,338.84x = 122,499,814,062.57
  5. Step 5: Solve for x
    x = 122,499,814,062.57/229,338.84
  6. Step 6: Final answer
    x = 534,143.33

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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.