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Finding the Third Proportional to 226,048 and 351,232

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Solution

The third proportional to 226,048 and 351,232 is: 545,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048 : 351,232 = 351,232 : x
  2. Step 2: Convert to fraction form
    226,048/351,232 = 351,232/x
  3. Step 3: Cross multiply
    226,048x = 351,232 × 351,232
  4. Step 4: Simplify right side
    226,048x = 123,363,917,824
  5. Step 5: Solve for x
    x = 123,363,917,824/226,048
  6. Step 6: Final answer
    x = 545,742.13

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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.