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Finding the Third Proportional to 147,804 and 323,214

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Solution

The third proportional to 147,804 and 323,214 is: 706,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804 : 323,214 = 323,214 : x
  2. Step 2: Convert to fraction form
    147,804/323,214 = 323,214/x
  3. Step 3: Cross multiply
    147,804x = 323,214 × 323,214
  4. Step 4: Simplify right side
    147,804x = 104,467,289,796
  5. Step 5: Solve for x
    x = 104,467,289,796/147,804
  6. Step 6: Final answer
    x = 706,796.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.