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Finding the Third Proportional to 239,758 and 357,996

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Solution

The third proportional to 239,758 and 357,996 is: 534,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,758 : 357,996 = 357,996 : x
  2. Step 2: Convert to fraction form
    239,758/357,996 = 357,996/x
  3. Step 3: Cross multiply
    239,758x = 357,996 × 357,996
  4. Step 4: Simplify right side
    239,758x = 128,161,136,016
  5. Step 5: Solve for x
    x = 128,161,136,016/239,758
  6. Step 6: Final answer
    x = 534,543.73

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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.