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Finding the Third Proportional to 140,961 and 293,586

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Solution

The third proportional to 140,961 and 293,586 is: 611,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,961 : 293,586 = 293,586 : x
  2. Step 2: Convert to fraction form
    140,961/293,586 = 293,586/x
  3. Step 3: Cross multiply
    140,961x = 293,586 × 293,586
  4. Step 4: Simplify right side
    140,961x = 86,192,739,396
  5. Step 5: Solve for x
    x = 86,192,739,396/140,961
  6. Step 6: Final answer
    x = 611,465.15

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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.