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Finding the Third Proportional to 197,401.50 and 281,338.50

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Solution

The third proportional to 197,401.50 and 281,338.50 is: 400,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,401.50 : 281,338.50 = 281,338.50 : x
  2. Step 2: Convert to fraction form
    197,401.50/281,338.50 = 281,338.50/x
  3. Step 3: Cross multiply
    197,401.50x = 281,338.50 × 281,338.50
  4. Step 4: Simplify right side
    197,401.50x = 79,151,351,582.25
  5. Step 5: Solve for x
    x = 79,151,351,582.25/197,401.50
  6. Step 6: Final answer
    x = 400,966.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.