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Finding the Third Proportional to 200,157 and 435,306

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Solution

The third proportional to 200,157 and 435,306 is: 946,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,157 : 435,306 = 435,306 : x
  2. Step 2: Convert to fraction form
    200,157/435,306 = 435,306/x
  3. Step 3: Cross multiply
    200,157x = 435,306 × 435,306
  4. Step 4: Simplify right side
    200,157x = 189,491,313,636
  5. Step 5: Solve for x
    x = 189,491,313,636/200,157
  6. Step 6: Final answer
    x = 946,713.40

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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.