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Finding the Third Proportional to 223,573 and 332,322

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Solution

The third proportional to 223,573 and 332,322 is: 493,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,573 : 332,322 = 332,322 : x
  2. Step 2: Convert to fraction form
    223,573/332,322 = 332,322/x
  3. Step 3: Cross multiply
    223,573x = 332,322 × 332,322
  4. Step 4: Simplify right side
    223,573x = 110,437,911,684
  5. Step 5: Solve for x
    x = 110,437,911,684/223,573
  6. Step 6: Final answer
    x = 493,968.02

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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.