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Finding the Third Proportional to 149,796 and 320,040

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Solution

The third proportional to 149,796 and 320,040 is: 683,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796 : 320,040 = 320,040 : x
  2. Step 2: Convert to fraction form
    149,796/320,040 = 320,040/x
  3. Step 3: Cross multiply
    149,796x = 320,040 × 320,040
  4. Step 4: Simplify right side
    149,796x = 102,425,601,600
  5. Step 5: Solve for x
    x = 102,425,601,600/149,796
  6. Step 6: Final answer
    x = 683,767.27

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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.