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Finding the Third Proportional to 197,184 and 295,008

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Solution

The third proportional to 197,184 and 295,008 is: 441,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,184 : 295,008 = 295,008 : x
  2. Step 2: Convert to fraction form
    197,184/295,008 = 295,008/x
  3. Step 3: Cross multiply
    197,184x = 295,008 × 295,008
  4. Step 4: Simplify right side
    197,184x = 87,029,720,064
  5. Step 5: Solve for x
    x = 87,029,720,064/197,184
  6. Step 6: Final answer
    x = 441,362.99

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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.