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Finding the Third Proportional to 147,246 and 320,268

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Solution

The third proportional to 147,246 and 320,268 is: 696,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,246 : 320,268 = 320,268 : x
  2. Step 2: Convert to fraction form
    147,246/320,268 = 320,268/x
  3. Step 3: Cross multiply
    147,246x = 320,268 × 320,268
  4. Step 4: Simplify right side
    147,246x = 102,571,591,824
  5. Step 5: Solve for x
    x = 102,571,591,824/147,246
  6. Step 6: Final answer
    x = 696,600.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.