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Finding the Third Proportional to 197,233 and 432,008

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Solution

The third proportional to 197,233 and 432,008 is: 946,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,233 : 432,008 = 432,008 : x
  2. Step 2: Convert to fraction form
    197,233/432,008 = 432,008/x
  3. Step 3: Cross multiply
    197,233x = 432,008 × 432,008
  4. Step 4: Simplify right side
    197,233x = 186,630,912,064
  5. Step 5: Solve for x
    x = 186,630,912,064/197,233
  6. Step 6: Final answer
    x = 946,245.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.