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Finding the Third Proportional to 226,080 and 349,512

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Solution

The third proportional to 226,080 and 349,512 is: 540,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,080 : 349,512 = 349,512 : x
  2. Step 2: Convert to fraction form
    226,080/349,512 = 349,512/x
  3. Step 3: Cross multiply
    226,080x = 349,512 × 349,512
  4. Step 4: Simplify right side
    226,080x = 122,158,638,144
  5. Step 5: Solve for x
    x = 122,158,638,144/226,080
  6. Step 6: Final answer
    x = 540,333.68

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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.