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Finding the Third Proportional to 229,848 and 345,048

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Solution

The third proportional to 229,848 and 345,048 is: 517,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,848 : 345,048 = 345,048 : x
  2. Step 2: Convert to fraction form
    229,848/345,048 = 345,048/x
  3. Step 3: Cross multiply
    229,848x = 345,048 × 345,048
  4. Step 4: Simplify right side
    229,848x = 119,058,122,304
  5. Step 5: Solve for x
    x = 119,058,122,304/229,848
  6. Step 6: Final answer
    x = 517,986.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.