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Finding the Third Proportional to 104,851.50 and 228,135

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Solution

The third proportional to 104,851.50 and 228,135 is: 496,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,851.50 : 228,135 = 228,135 : x
  2. Step 2: Convert to fraction form
    104,851.50/228,135 = 228,135/x
  3. Step 3: Cross multiply
    104,851.50x = 228,135 × 228,135
  4. Step 4: Simplify right side
    104,851.50x = 52,045,578,225
  5. Step 5: Solve for x
    x = 52,045,578,225/104,851.50
  6. Step 6: Final answer
    x = 496,374.19

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Why These Related Problems?

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