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Finding the Third Proportional to 140,760 and 293,169

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Solution

The third proportional to 140,760 and 293,169 is: 610,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,760 : 293,169 = 293,169 : x
  2. Step 2: Convert to fraction form
    140,760/293,169 = 293,169/x
  3. Step 3: Cross multiply
    140,760x = 293,169 × 293,169
  4. Step 4: Simplify right side
    140,760x = 85,948,062,561
  5. Step 5: Solve for x
    x = 85,948,062,561/140,760
  6. Step 6: Final answer
    x = 610,600.05

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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.