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Finding the Third Proportional to 228,357.56 and 319,256.44

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Solution

The third proportional to 228,357.56 and 319,256.44 is: 446,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,357.56 : 319,256.44 = 319,256.44 : x
  2. Step 2: Convert to fraction form
    228,357.56/319,256.44 = 319,256.44/x
  3. Step 3: Cross multiply
    228,357.56x = 319,256.44 × 319,256.44
  4. Step 4: Simplify right side
    228,357.56x = 101,924,672,885.19
  5. Step 5: Solve for x
    x = 101,924,672,885.19/228,357.56
  6. Step 6: Final answer
    x = 446,338.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.