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Finding the Third Proportional to 110,770.50 and 228,073.50

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Solution

The third proportional to 110,770.50 and 228,073.50 is: 469,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770.50 : 228,073.50 = 228,073.50 : x
  2. Step 2: Convert to fraction form
    110,770.50/228,073.50 = 228,073.50/x
  3. Step 3: Cross multiply
    110,770.50x = 228,073.50 × 228,073.50
  4. Step 4: Simplify right side
    110,770.50x = 52,017,521,402.25
  5. Step 5: Solve for x
    x = 52,017,521,402.25/110,770.50
  6. Step 6: Final answer
    x = 469,597.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.