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Finding the Third Proportional to 221,576 and 313,538

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Solution

The third proportional to 221,576 and 313,538 is: 443,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,576 : 313,538 = 313,538 : x
  2. Step 2: Convert to fraction form
    221,576/313,538 = 313,538/x
  3. Step 3: Cross multiply
    221,576x = 313,538 × 313,538
  4. Step 4: Simplify right side
    221,576x = 98,306,077,444
  5. Step 5: Solve for x
    x = 98,306,077,444/221,576
  6. Step 6: Final answer
    x = 443,667.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.