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Finding the Third Proportional to 151,930 and 333,014

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Solution

The third proportional to 151,930 and 333,014 is: 729,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,930 : 333,014 = 333,014 : x
  2. Step 2: Convert to fraction form
    151,930/333,014 = 333,014/x
  3. Step 3: Cross multiply
    151,930x = 333,014 × 333,014
  4. Step 4: Simplify right side
    151,930x = 110,898,324,196
  5. Step 5: Solve for x
    x = 110,898,324,196/151,930
  6. Step 6: Final answer
    x = 729,930.39

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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.