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Finding the Third Proportional to 175,198 and 383,988

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Solution

The third proportional to 175,198 and 383,988 is: 841,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,198 : 383,988 = 383,988 : x
  2. Step 2: Convert to fraction form
    175,198/383,988 = 383,988/x
  3. Step 3: Cross multiply
    175,198x = 383,988 × 383,988
  4. Step 4: Simplify right side
    175,198x = 147,446,784,144
  5. Step 5: Solve for x
    x = 147,446,784,144/175,198
  6. Step 6: Final answer
    x = 841,600.84

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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.