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Finding the Third Proportional to 135,264 and 293,856

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Solution

The third proportional to 135,264 and 293,856 is: 638,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,264 : 293,856 = 293,856 : x
  2. Step 2: Convert to fraction form
    135,264/293,856 = 293,856/x
  3. Step 3: Cross multiply
    135,264x = 293,856 × 293,856
  4. Step 4: Simplify right side
    135,264x = 86,351,348,736
  5. Step 5: Solve for x
    x = 86,351,348,736/135,264
  6. Step 6: Final answer
    x = 638,391.21

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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.