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Finding the Third Proportional to 189,144 and 411,888

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Solution

The third proportional to 189,144 and 411,888 is: 896,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,144 : 411,888 = 411,888 : x
  2. Step 2: Convert to fraction form
    189,144/411,888 = 411,888/x
  3. Step 3: Cross multiply
    189,144x = 411,888 × 411,888
  4. Step 4: Simplify right side
    189,144x = 169,651,724,544
  5. Step 5: Solve for x
    x = 169,651,724,544/189,144
  6. Step 6: Final answer
    x = 896,944.79

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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.