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Finding the Third Proportional to 239,759 and 357,997

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Solution

The third proportional to 239,759 and 357,997 is: 534,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,759 : 357,997 = 357,997 : x
  2. Step 2: Convert to fraction form
    239,759/357,997 = 357,997/x
  3. Step 3: Cross multiply
    239,759x = 357,997 × 357,997
  4. Step 4: Simplify right side
    239,759x = 128,161,852,009
  5. Step 5: Solve for x
    x = 128,161,852,009/239,759
  6. Step 6: Final answer
    x = 534,544.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.