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Finding the Third Proportional to 226,560 and 351,504

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Solution

The third proportional to 226,560 and 351,504 is: 545,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,560 : 351,504 = 351,504 : x
  2. Step 2: Convert to fraction form
    226,560/351,504 = 351,504/x
  3. Step 3: Cross multiply
    226,560x = 351,504 × 351,504
  4. Step 4: Simplify right side
    226,560x = 123,555,062,016
  5. Step 5: Solve for x
    x = 123,555,062,016/226,560
  6. Step 6: Final answer
    x = 545,352.50

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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.