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Finding the Third Proportional to 196,587 and 300,611.25

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Solution

The third proportional to 196,587 and 300,611.25 is: 459,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,587 : 300,611.25 = 300,611.25 : x
  2. Step 2: Convert to fraction form
    196,587/300,611.25 = 300,611.25/x
  3. Step 3: Cross multiply
    196,587x = 300,611.25 × 300,611.25
  4. Step 4: Simplify right side
    196,587x = 90,367,123,626.56
  5. Step 5: Solve for x
    x = 90,367,123,626.56/196,587
  6. Step 6: Final answer
    x = 459,680.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.