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Finding the Third Proportional to 223,429.50 and 486,252

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Solution

The third proportional to 223,429.50 and 486,252 is: 1,058,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,429.50 : 486,252 = 486,252 : x
  2. Step 2: Convert to fraction form
    223,429.50/486,252 = 486,252/x
  3. Step 3: Cross multiply
    223,429.50x = 486,252 × 486,252
  4. Step 4: Simplify right side
    223,429.50x = 236,441,007,504
  5. Step 5: Solve for x
    x = 236,441,007,504/223,429.50
  6. Step 6: Final answer
    x = 1,058,235.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.