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Finding the Third Proportional to 226,074 and 349,504

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Solution

The third proportional to 226,074 and 349,504 is: 540,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,074 : 349,504 = 349,504 : x
  2. Step 2: Convert to fraction form
    226,074/349,504 = 349,504/x
  3. Step 3: Cross multiply
    226,074x = 349,504 × 349,504
  4. Step 4: Simplify right side
    226,074x = 122,153,046,016
  5. Step 5: Solve for x
    x = 122,153,046,016/226,074
  6. Step 6: Final answer
    x = 540,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.