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Finding the Third Proportional to 149,629 and 320,276

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Solution

The third proportional to 149,629 and 320,276 is: 685,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,629 : 320,276 = 320,276 : x
  2. Step 2: Convert to fraction form
    149,629/320,276 = 320,276/x
  3. Step 3: Cross multiply
    149,629x = 320,276 × 320,276
  4. Step 4: Simplify right side
    149,629x = 102,576,716,176
  5. Step 5: Solve for x
    x = 102,576,716,176/149,629
  6. Step 6: Final answer
    x = 685,540.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.