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Finding the Third Proportional to 144,859 and 223,850

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Solution

The third proportional to 144,859 and 223,850 is: 345,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,859 : 223,850 = 223,850 : x
  2. Step 2: Convert to fraction form
    144,859/223,850 = 223,850/x
  3. Step 3: Cross multiply
    144,859x = 223,850 × 223,850
  4. Step 4: Simplify right side
    144,859x = 50,108,822,500
  5. Step 5: Solve for x
    x = 50,108,822,500/144,859
  6. Step 6: Final answer
    x = 345,914.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.