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Finding the Third Proportional to 239,512 and 333,018.75

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Solution

The third proportional to 239,512 and 333,018.75 is: 463,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,512 : 333,018.75 = 333,018.75 : x
  2. Step 2: Convert to fraction form
    239,512/333,018.75 = 333,018.75/x
  3. Step 3: Cross multiply
    239,512x = 333,018.75 × 333,018.75
  4. Step 4: Simplify right side
    239,512x = 110,901,487,851.56
  5. Step 5: Solve for x
    x = 110,901,487,851.56/239,512
  6. Step 6: Final answer
    x = 463,031.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.