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Finding the Third Proportional to 104,857.50 and 228,147

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Solution

The third proportional to 104,857.50 and 228,147 is: 496,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,857.50 : 228,147 = 228,147 : x
  2. Step 2: Convert to fraction form
    104,857.50/228,147 = 228,147/x
  3. Step 3: Cross multiply
    104,857.50x = 228,147 × 228,147
  4. Step 4: Simplify right side
    104,857.50x = 52,051,053,609
  5. Step 5: Solve for x
    x = 52,051,053,609/104,857.50
  6. Step 6: Final answer
    x = 496,398.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.