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Finding the Third Proportional to 197,458 and 281,417

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Solution

The third proportional to 197,458 and 281,417 is: 401,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,458 : 281,417 = 281,417 : x
  2. Step 2: Convert to fraction form
    197,458/281,417 = 281,417/x
  3. Step 3: Cross multiply
    197,458x = 281,417 × 281,417
  4. Step 4: Simplify right side
    197,458x = 79,195,527,889
  5. Step 5: Solve for x
    x = 79,195,527,889/197,458
  6. Step 6: Final answer
    x = 401,075.31

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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.