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Finding the Third Proportional to 223,932 and 338,058

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Solution

The third proportional to 223,932 and 338,058 is: 510,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,932 : 338,058 = 338,058 : x
  2. Step 2: Convert to fraction form
    223,932/338,058 = 338,058/x
  3. Step 3: Cross multiply
    223,932x = 338,058 × 338,058
  4. Step 4: Simplify right side
    223,932x = 114,283,211,364
  5. Step 5: Solve for x
    x = 114,283,211,364/223,932
  6. Step 6: Final answer
    x = 510,347.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.