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Finding the Third Proportional to 189,651 and 439,054.50

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Solution

The third proportional to 189,651 and 439,054.50 is: 1,016,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,651 : 439,054.50 = 439,054.50 : x
  2. Step 2: Convert to fraction form
    189,651/439,054.50 = 439,054.50/x
  3. Step 3: Cross multiply
    189,651x = 439,054.50 × 439,054.50
  4. Step 4: Simplify right side
    189,651x = 192,768,853,970.25
  5. Step 5: Solve for x
    x = 192,768,853,970.25/189,651
  6. Step 6: Final answer
    x = 1,016,439.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.