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Finding the Third Proportional to 189,907.03 and 300,716.30

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Solution

The third proportional to 189,907.03 and 300,716.30 is: 476,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,907.03 : 300,716.30 = 300,716.30 : x
  2. Step 2: Convert to fraction form
    189,907.03/300,716.30 = 300,716.30/x
  3. Step 3: Cross multiply
    189,907.03x = 300,716.30 × 300,716.30
  4. Step 4: Simplify right side
    189,907.03x = 90,430,291,206.21
  5. Step 5: Solve for x
    x = 90,430,291,206.21/189,907.03
  6. Step 6: Final answer
    x = 476,181.90

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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.