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Finding the Third Proportional to 199,172 and 435,640

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Solution

The third proportional to 199,172 and 435,640 is: 952,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,172 : 435,640 = 435,640 : x
  2. Step 2: Convert to fraction form
    199,172/435,640 = 435,640/x
  3. Step 3: Cross multiply
    199,172x = 435,640 × 435,640
  4. Step 4: Simplify right side
    199,172x = 189,782,209,600
  5. Step 5: Solve for x
    x = 189,782,209,600/199,172
  6. Step 6: Final answer
    x = 952,855.87

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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.