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Finding the Third Proportional to 202,436 and 434,329

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Solution

The third proportional to 202,436 and 434,329 is: 931,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436 : 434,329 = 434,329 : x
  2. Step 2: Convert to fraction form
    202,436/434,329 = 434,329/x
  3. Step 3: Cross multiply
    202,436x = 434,329 × 434,329
  4. Step 4: Simplify right side
    202,436x = 188,641,680,241
  5. Step 5: Solve for x
    x = 188,641,680,241/202,436
  6. Step 6: Final answer
    x = 931,858.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.