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Finding the Third Proportional to 189,907 and 300,716

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Solution

The third proportional to 189,907 and 300,716 is: 476,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,907 : 300,716 = 300,716 : x
  2. Step 2: Convert to fraction form
    189,907/300,716 = 300,716/x
  3. Step 3: Cross multiply
    189,907x = 300,716 × 300,716
  4. Step 4: Simplify right side
    189,907x = 90,430,112,656
  5. Step 5: Solve for x
    x = 90,430,112,656/189,907
  6. Step 6: Final answer
    x = 476,181.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.