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Finding the Third Proportional to 228,921 and 350,187

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Solution

The third proportional to 228,921 and 350,187 is: 535,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,921 : 350,187 = 350,187 : x
  2. Step 2: Convert to fraction form
    228,921/350,187 = 350,187/x
  3. Step 3: Cross multiply
    228,921x = 350,187 × 350,187
  4. Step 4: Simplify right side
    228,921x = 122,630,934,969
  5. Step 5: Solve for x
    x = 122,630,934,969/228,921
  6. Step 6: Final answer
    x = 535,691.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.