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Finding the Third Proportional to 198,336 and 435,858

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Solution

The third proportional to 198,336 and 435,858 is: 957,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,336 : 435,858 = 435,858 : x
  2. Step 2: Convert to fraction form
    198,336/435,858 = 435,858/x
  3. Step 3: Cross multiply
    198,336x = 435,858 × 435,858
  4. Step 4: Simplify right side
    198,336x = 189,972,196,164
  5. Step 5: Solve for x
    x = 189,972,196,164/198,336
  6. Step 6: Final answer
    x = 957,830.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.