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Finding the Third Proportional to 189,436.50 and 405,138.94

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Solution

The third proportional to 189,436.50 and 405,138.94 is: 866,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,436.50 : 405,138.94 = 405,138.94 : x
  2. Step 2: Convert to fraction form
    189,436.50/405,138.94 = 405,138.94/x
  3. Step 3: Cross multiply
    189,436.50x = 405,138.94 × 405,138.94
  4. Step 4: Simplify right side
    189,436.50x = 164,137,558,678.63
  5. Step 5: Solve for x
    x = 164,137,558,678.63/189,436.50
  6. Step 6: Final answer
    x = 866,451.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.