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Finding the Third Proportional to 153,867 and 333,963

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Solution

The third proportional to 153,867 and 333,963 is: 724,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,867 : 333,963 = 333,963 : x
  2. Step 2: Convert to fraction form
    153,867/333,963 = 333,963/x
  3. Step 3: Cross multiply
    153,867x = 333,963 × 333,963
  4. Step 4: Simplify right side
    153,867x = 111,531,285,369
  5. Step 5: Solve for x
    x = 111,531,285,369/153,867
  6. Step 6: Final answer
    x = 724,855.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.