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Finding the Third Proportional to 198,196 and 435,752

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Solution

The third proportional to 198,196 and 435,752 is: 958,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,196 : 435,752 = 435,752 : x
  2. Step 2: Convert to fraction form
    198,196/435,752 = 435,752/x
  3. Step 3: Cross multiply
    198,196x = 435,752 × 435,752
  4. Step 4: Simplify right side
    198,196x = 189,879,805,504
  5. Step 5: Solve for x
    x = 189,879,805,504/198,196
  6. Step 6: Final answer
    x = 958,040.55

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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.