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Finding the Third Proportional to 189,616.50 and 406,220.63

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Solution

The third proportional to 189,616.50 and 406,220.63 is: 870,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,616.50 : 406,220.63 = 406,220.63 : x
  2. Step 2: Convert to fraction form
    189,616.50/406,220.63 = 406,220.63/x
  3. Step 3: Cross multiply
    189,616.50x = 406,220.63 × 406,220.63
  4. Step 4: Simplify right side
    189,616.50x = 165,015,196,175.39
  5. Step 5: Solve for x
    x = 165,015,196,175.39/189,616.50
  6. Step 6: Final answer
    x = 870,257.58

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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.