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Finding the Third Proportional to 251,865 and 349,080.75

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Solution

The third proportional to 251,865 and 349,080.75 is: 483,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,865 : 349,080.75 = 349,080.75 : x
  2. Step 2: Convert to fraction form
    251,865/349,080.75 = 349,080.75/x
  3. Step 3: Cross multiply
    251,865x = 349,080.75 × 349,080.75
  4. Step 4: Simplify right side
    251,865x = 121,857,370,020.56
  5. Step 5: Solve for x
    x = 121,857,370,020.56/251,865
  6. Step 6: Final answer
    x = 483,820.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.