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Finding the Third Proportional to 104,475.75 and 228,981

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Solution

The third proportional to 104,475.75 and 228,981 is: 501,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,475.75 : 228,981 = 228,981 : x
  2. Step 2: Convert to fraction form
    104,475.75/228,981 = 228,981/x
  3. Step 3: Cross multiply
    104,475.75x = 228,981 × 228,981
  4. Step 4: Simplify right side
    104,475.75x = 52,432,298,361
  5. Step 5: Solve for x
    x = 52,432,298,361/104,475.75
  6. Step 6: Final answer
    x = 501,860.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.