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Finding the Third Proportional to 135,048 and 293,136

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Solution

The third proportional to 135,048 and 293,136 is: 636,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,048 : 293,136 = 293,136 : x
  2. Step 2: Convert to fraction form
    135,048/293,136 = 293,136/x
  3. Step 3: Cross multiply
    135,048x = 293,136 × 293,136
  4. Step 4: Simplify right side
    135,048x = 85,928,714,496
  5. Step 5: Solve for x
    x = 85,928,714,496/135,048
  6. Step 6: Final answer
    x = 636,282.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.