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Finding the Third Proportional to 197,632 and 295,488

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Solution

The third proportional to 197,632 and 295,488 is: 441,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,632 : 295,488 = 295,488 : x
  2. Step 2: Convert to fraction form
    197,632/295,488 = 295,488/x
  3. Step 3: Cross multiply
    197,632x = 295,488 × 295,488
  4. Step 4: Simplify right side
    197,632x = 87,313,158,144
  5. Step 5: Solve for x
    x = 87,313,158,144/197,632
  6. Step 6: Final answer
    x = 441,796.66

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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.