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Finding the Third Proportional to 133,267 and 294,561

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Solution

The third proportional to 133,267 and 294,561 is: 651,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,267 : 294,561 = 294,561 : x
  2. Step 2: Convert to fraction form
    133,267/294,561 = 294,561/x
  3. Step 3: Cross multiply
    133,267x = 294,561 × 294,561
  4. Step 4: Simplify right side
    133,267x = 86,766,182,721
  5. Step 5: Solve for x
    x = 86,766,182,721/133,267
  6. Step 6: Final answer
    x = 651,070.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.