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Finding the Third Proportional to 147,786 and 223,230

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Solution

The third proportional to 147,786 and 223,230 is: 337,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,786 : 223,230 = 223,230 : x
  2. Step 2: Convert to fraction form
    147,786/223,230 = 223,230/x
  3. Step 3: Cross multiply
    147,786x = 223,230 × 223,230
  4. Step 4: Simplify right side
    147,786x = 49,831,632,900
  5. Step 5: Solve for x
    x = 49,831,632,900/147,786
  6. Step 6: Final answer
    x = 337,187.78

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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.