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Finding the Third Proportional to 149,800 and 320,048

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Solution

The third proportional to 149,800 and 320,048 is: 683,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,800 : 320,048 = 320,048 : x
  2. Step 2: Convert to fraction form
    149,800/320,048 = 320,048/x
  3. Step 3: Cross multiply
    149,800x = 320,048 × 320,048
  4. Step 4: Simplify right side
    149,800x = 102,430,722,304
  5. Step 5: Solve for x
    x = 102,430,722,304/149,800
  6. Step 6: Final answer
    x = 683,783.19

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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.