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Finding the Third Proportional to 189,006.75 and 411,230.25

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Solution

The third proportional to 189,006.75 and 411,230.25 is: 894,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,006.75 : 411,230.25 = 411,230.25 : x
  2. Step 2: Convert to fraction form
    189,006.75/411,230.25 = 411,230.25/x
  3. Step 3: Cross multiply
    189,006.75x = 411,230.25 × 411,230.25
  4. Step 4: Simplify right side
    189,006.75x = 169,110,318,515.06
  5. Step 5: Solve for x
    x = 169,110,318,515.06/189,006.75
  6. Step 6: Final answer
    x = 894,731.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.