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Finding the Third Proportional to 239,832 and 346,488.75

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Solution

The third proportional to 239,832 and 346,488.75 is: 500,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,832 : 346,488.75 = 346,488.75 : x
  2. Step 2: Convert to fraction form
    239,832/346,488.75 = 346,488.75/x
  3. Step 3: Cross multiply
    239,832x = 346,488.75 × 346,488.75
  4. Step 4: Simplify right side
    239,832x = 120,054,453,876.56
  5. Step 5: Solve for x
    x = 120,054,453,876.56/239,832
  6. Step 6: Final answer
    x = 500,577.30

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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.