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Finding the Third Proportional to 254,827.27 and 344,872.69

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Solution

The third proportional to 254,827.27 and 344,872.69 is: 466,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,827.27 : 344,872.69 = 344,872.69 : x
  2. Step 2: Convert to fraction form
    254,827.27/344,872.69 = 344,872.69/x
  3. Step 3: Cross multiply
    254,827.27x = 344,872.69 × 344,872.69
  4. Step 4: Simplify right side
    254,827.27x = 118,937,170,583.47
  5. Step 5: Solve for x
    x = 118,937,170,583.47/254,827.27
  6. Step 6: Final answer
    x = 466,736.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.