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Finding the Third Proportional to 189,704 and 285,807

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Solution

The third proportional to 189,704 and 285,807 is: 430,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704 : 285,807 = 285,807 : x
  2. Step 2: Convert to fraction form
    189,704/285,807 = 285,807/x
  3. Step 3: Cross multiply
    189,704x = 285,807 × 285,807
  4. Step 4: Simplify right side
    189,704x = 81,685,641,249
  5. Step 5: Solve for x
    x = 81,685,641,249/189,704
  6. Step 6: Final answer
    x = 430,595.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.