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Finding the Third Proportional to 226,734.19 and 353,887.31

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Solution

The third proportional to 226,734.19 and 353,887.31 is: 552,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,734.19 : 353,887.31 = 353,887.31 : x
  2. Step 2: Convert to fraction form
    226,734.19/353,887.31 = 353,887.31/x
  3. Step 3: Cross multiply
    226,734.19x = 353,887.31 × 353,887.31
  4. Step 4: Simplify right side
    226,734.19x = 125,236,229,948.47
  5. Step 5: Solve for x
    x = 125,236,229,948.47/226,734.19
  6. Step 6: Final answer
    x = 552,348.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.