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Finding the Third Proportional to 195,228 and 395,888.63

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Solution

The third proportional to 195,228 and 395,888.63 is: 802,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,228 : 395,888.63 = 395,888.63 : x
  2. Step 2: Convert to fraction form
    195,228/395,888.63 = 395,888.63/x
  3. Step 3: Cross multiply
    195,228x = 395,888.63 × 395,888.63
  4. Step 4: Simplify right side
    195,228x = 156,727,803,404.39
  5. Step 5: Solve for x
    x = 156,727,803,404.39/195,228
  6. Step 6: Final answer
    x = 802,793.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.