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Finding the Third Proportional to 104,932.50 and 228,487.50

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Solution

The third proportional to 104,932.50 and 228,487.50 is: 497,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,932.50 : 228,487.50 = 228,487.50 : x
  2. Step 2: Convert to fraction form
    104,932.50/228,487.50 = 228,487.50/x
  3. Step 3: Cross multiply
    104,932.50x = 228,487.50 × 228,487.50
  4. Step 4: Simplify right side
    104,932.50x = 52,206,537,656.25
  5. Step 5: Solve for x
    x = 52,206,537,656.25/104,932.50
  6. Step 6: Final answer
    x = 497,524.96

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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.