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Finding the Third Proportional to 197,354 and 432,266

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Solution

The third proportional to 197,354 and 432,266 is: 946,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,354 : 432,266 = 432,266 : x
  2. Step 2: Convert to fraction form
    197,354/432,266 = 432,266/x
  3. Step 3: Cross multiply
    197,354x = 432,266 × 432,266
  4. Step 4: Simplify right side
    197,354x = 186,853,894,756
  5. Step 5: Solve for x
    x = 186,853,894,756/197,354
  6. Step 6: Final answer
    x = 946,795.58

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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.