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Finding the Third Proportional to 223,602 and 332,361

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Solution

The third proportional to 223,602 and 332,361 is: 494,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,602 : 332,361 = 332,361 : x
  2. Step 2: Convert to fraction form
    223,602/332,361 = 332,361/x
  3. Step 3: Cross multiply
    223,602x = 332,361 × 332,361
  4. Step 4: Simplify right side
    223,602x = 110,463,834,321
  5. Step 5: Solve for x
    x = 110,463,834,321/223,602
  6. Step 6: Final answer
    x = 494,019.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.