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Finding the Third Proportional to 225,890.88 and 331,291.63

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Solution

The third proportional to 225,890.88 and 331,291.63 is: 485,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,890.88 : 331,291.63 = 331,291.63 : x
  2. Step 2: Convert to fraction form
    225,890.88/331,291.63 = 331,291.63/x
  3. Step 3: Cross multiply
    225,890.88x = 331,291.63 × 331,291.63
  4. Step 4: Simplify right side
    225,890.88x = 109,754,140,795.14
  5. Step 5: Solve for x
    x = 109,754,140,795.14/225,890.88
  6. Step 6: Final answer
    x = 485,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.