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Finding the Third Proportional to 160,692 and 229,563

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Solution

The third proportional to 160,692 and 229,563 is: 327,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,692 : 229,563 = 229,563 : x
  2. Step 2: Convert to fraction form
    160,692/229,563 = 229,563/x
  3. Step 3: Cross multiply
    160,692x = 229,563 × 229,563
  4. Step 4: Simplify right side
    160,692x = 52,699,170,969
  5. Step 5: Solve for x
    x = 52,699,170,969/160,692
  6. Step 6: Final answer
    x = 327,951.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.