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Finding the Third Proportional to 225,753 and 331,886

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Solution

The third proportional to 225,753 and 331,886 is: 487,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,753 : 331,886 = 331,886 : x
  2. Step 2: Convert to fraction form
    225,753/331,886 = 331,886/x
  3. Step 3: Cross multiply
    225,753x = 331,886 × 331,886
  4. Step 4: Simplify right side
    225,753x = 110,148,316,996
  5. Step 5: Solve for x
    x = 110,148,316,996/225,753
  6. Step 6: Final answer
    x = 487,915.19

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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.