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Finding the Third Proportional to 106,669.50 and 228,520.50

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Solution

The third proportional to 106,669.50 and 228,520.50 is: 489,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,669.50 : 228,520.50 = 228,520.50 : x
  2. Step 2: Convert to fraction form
    106,669.50/228,520.50 = 228,520.50/x
  3. Step 3: Cross multiply
    106,669.50x = 228,520.50 × 228,520.50
  4. Step 4: Simplify right side
    106,669.50x = 52,221,618,920.25
  5. Step 5: Solve for x
    x = 52,221,618,920.25/106,669.50
  6. Step 6: Final answer
    x = 489,564.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.