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Finding the Third Proportional to 239,848 and 346,512

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Solution

The third proportional to 239,848 and 346,512 is: 500,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,848 : 346,512 = 346,512 : x
  2. Step 2: Convert to fraction form
    239,848/346,512 = 346,512/x
  3. Step 3: Cross multiply
    239,848x = 346,512 × 346,512
  4. Step 4: Simplify right side
    239,848x = 120,070,566,144
  5. Step 5: Solve for x
    x = 120,070,566,144/239,848
  6. Step 6: Final answer
    x = 500,611.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.