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Finding the Third Proportional to 239,760.75 and 357,999.38

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Solution

The third proportional to 239,760.75 and 357,999.38 is: 534,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,760.75 : 357,999.38 = 357,999.38 : x
  2. Step 2: Convert to fraction form
    239,760.75/357,999.38 = 357,999.38/x
  3. Step 3: Cross multiply
    239,760.75x = 357,999.38 × 357,999.38
  4. Step 4: Simplify right side
    239,760.75x = 128,163,552,500.39
  5. Step 5: Solve for x
    x = 128,163,552,500.39/239,760.75
  6. Step 6: Final answer
    x = 534,547.68

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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.