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Finding the Third Proportional to 197,642 and 295,923

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Solution

The third proportional to 197,642 and 295,923 is: 443,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,642 : 295,923 = 295,923 : x
  2. Step 2: Convert to fraction form
    197,642/295,923 = 295,923/x
  3. Step 3: Cross multiply
    197,642x = 295,923 × 295,923
  4. Step 4: Simplify right side
    197,642x = 87,570,421,929
  5. Step 5: Solve for x
    x = 87,570,421,929/197,642
  6. Step 6: Final answer
    x = 443,075.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.