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Finding the Third Proportional to 140,800 and 293,208

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Solution

The third proportional to 140,800 and 293,208 is: 610,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,800 : 293,208 = 293,208 : x
  2. Step 2: Convert to fraction form
    140,800/293,208 = 293,208/x
  3. Step 3: Cross multiply
    140,800x = 293,208 × 293,208
  4. Step 4: Simplify right side
    140,800x = 85,970,931,264
  5. Step 5: Solve for x
    x = 85,970,931,264/140,800
  6. Step 6: Final answer
    x = 610,589.00

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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.