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Finding the Third Proportional to 147,661 and 223,253

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Solution

The third proportional to 147,661 and 223,253 is: 337,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,661 : 223,253 = 223,253 : x
  2. Step 2: Convert to fraction form
    147,661/223,253 = 223,253/x
  3. Step 3: Cross multiply
    147,661x = 223,253 × 223,253
  4. Step 4: Simplify right side
    147,661x = 49,841,902,009
  5. Step 5: Solve for x
    x = 49,841,902,009/147,661
  6. Step 6: Final answer
    x = 337,542.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.