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Finding the Third Proportional to 155,301 and 335,991

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Solution

The third proportional to 155,301 and 335,991 is: 726,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,301 : 335,991 = 335,991 : x
  2. Step 2: Convert to fraction form
    155,301/335,991 = 335,991/x
  3. Step 3: Cross multiply
    155,301x = 335,991 × 335,991
  4. Step 4: Simplify right side
    155,301x = 112,889,952,081
  5. Step 5: Solve for x
    x = 112,889,952,081/155,301
  6. Step 6: Final answer
    x = 726,910.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.