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Finding the Third Proportional to 228,194.50 and 508,859

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Solution

The third proportional to 228,194.50 and 508,859 is: 1,134,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,194.50 : 508,859 = 508,859 : x
  2. Step 2: Convert to fraction form
    228,194.50/508,859 = 508,859/x
  3. Step 3: Cross multiply
    228,194.50x = 508,859 × 508,859
  4. Step 4: Simplify right side
    228,194.50x = 258,937,481,881
  5. Step 5: Solve for x
    x = 258,937,481,881/228,194.50
  6. Step 6: Final answer
    x = 1,134,722.71

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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.