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Finding the Third Proportional to 140,762 and 293,173

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Solution

The third proportional to 140,762 and 293,173 is: 610,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,762 : 293,173 = 293,173 : x
  2. Step 2: Convert to fraction form
    140,762/293,173 = 293,173/x
  3. Step 3: Cross multiply
    140,762x = 293,173 × 293,173
  4. Step 4: Simplify right side
    140,762x = 85,950,407,929
  5. Step 5: Solve for x
    x = 85,950,407,929/140,762
  6. Step 6: Final answer
    x = 610,608.03

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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.