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Finding the Third Proportional to 229,992 and 349,139.25

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Solution

The third proportional to 229,992 and 349,139.25 is: 530,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,992 : 349,139.25 = 349,139.25 : x
  2. Step 2: Convert to fraction form
    229,992/349,139.25 = 349,139.25/x
  3. Step 3: Cross multiply
    229,992x = 349,139.25 × 349,139.25
  4. Step 4: Simplify right side
    229,992x = 121,898,215,890.56
  5. Step 5: Solve for x
    x = 121,898,215,890.56/229,992
  6. Step 6: Final answer
    x = 530,010.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.