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Finding the Third Proportional to 200,196 and 435,330

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Solution

The third proportional to 200,196 and 435,330 is: 946,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,196 : 435,330 = 435,330 : x
  2. Step 2: Convert to fraction form
    200,196/435,330 = 435,330/x
  3. Step 3: Cross multiply
    200,196x = 435,330 × 435,330
  4. Step 4: Simplify right side
    200,196x = 189,512,208,900
  5. Step 5: Solve for x
    x = 189,512,208,900/200,196
  6. Step 6: Final answer
    x = 946,633.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.