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Finding the Third Proportional to 228,190.50 and 508,851

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Solution

The third proportional to 228,190.50 and 508,851 is: 1,134,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,190.50 : 508,851 = 508,851 : x
  2. Step 2: Convert to fraction form
    228,190.50/508,851 = 508,851/x
  3. Step 3: Cross multiply
    228,190.50x = 508,851 × 508,851
  4. Step 4: Simplify right side
    228,190.50x = 258,929,340,201
  5. Step 5: Solve for x
    x = 258,929,340,201/228,190.50
  6. Step 6: Final answer
    x = 1,134,706.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.