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Finding the Third Proportional to 239,760 and 357,999

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Solution

The third proportional to 239,760 and 357,999 is: 534,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,760 : 357,999 = 357,999 : x
  2. Step 2: Convert to fraction form
    239,760/357,999 = 357,999/x
  3. Step 3: Cross multiply
    239,760x = 357,999 × 357,999
  4. Step 4: Simplify right side
    239,760x = 128,163,284,001
  5. Step 5: Solve for x
    x = 128,163,284,001/239,760
  6. Step 6: Final answer
    x = 534,548.23

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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.