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Finding the Third Proportional to 198,370 and 430,436

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Solution

The third proportional to 198,370 and 430,436 is: 933,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,370 : 430,436 = 430,436 : x
  2. Step 2: Convert to fraction form
    198,370/430,436 = 430,436/x
  3. Step 3: Cross multiply
    198,370x = 430,436 × 430,436
  4. Step 4: Simplify right side
    198,370x = 185,275,150,096
  5. Step 5: Solve for x
    x = 185,275,150,096/198,370
  6. Step 6: Final answer
    x = 933,987.75

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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.