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Finding the Third Proportional to 189,000 and 290,004

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Solution

The third proportional to 189,000 and 290,004 is: 444,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000 : 290,004 = 290,004 : x
  2. Step 2: Convert to fraction form
    189,000/290,004 = 290,004/x
  3. Step 3: Cross multiply
    189,000x = 290,004 × 290,004
  4. Step 4: Simplify right side
    189,000x = 84,102,320,016
  5. Step 5: Solve for x
    x = 84,102,320,016/189,000
  6. Step 6: Final answer
    x = 444,985.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.