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Finding the Third Proportional to 135,384 and 297,760

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Solution

The third proportional to 135,384 and 297,760 is: 654,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384 : 297,760 = 297,760 : x
  2. Step 2: Convert to fraction form
    135,384/297,760 = 297,760/x
  3. Step 3: Cross multiply
    135,384x = 297,760 × 297,760
  4. Step 4: Simplify right side
    135,384x = 88,661,017,600
  5. Step 5: Solve for x
    x = 88,661,017,600/135,384
  6. Step 6: Final answer
    x = 654,885.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.