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Finding the Third Proportional to 140,816 and 293,285

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Solution

The third proportional to 140,816 and 293,285 is: 610,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,816 : 293,285 = 293,285 : x
  2. Step 2: Convert to fraction form
    140,816/293,285 = 293,285/x
  3. Step 3: Cross multiply
    140,816x = 293,285 × 293,285
  4. Step 4: Simplify right side
    140,816x = 86,016,091,225
  5. Step 5: Solve for x
    x = 86,016,091,225/140,816
  6. Step 6: Final answer
    x = 610,840.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.