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Finding the Third Proportional to 135,084 and 293,952

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Solution

The third proportional to 135,084 and 293,952 is: 639,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,084 : 293,952 = 293,952 : x
  2. Step 2: Convert to fraction form
    135,084/293,952 = 293,952/x
  3. Step 3: Cross multiply
    135,084x = 293,952 × 293,952
  4. Step 4: Simplify right side
    135,084x = 86,407,778,304
  5. Step 5: Solve for x
    x = 86,407,778,304/135,084
  6. Step 6: Final answer
    x = 639,659.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.