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Finding the Third Proportional to 175,958 and 383,678

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Solution

The third proportional to 175,958 and 383,678 is: 836,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,958 : 383,678 = 383,678 : x
  2. Step 2: Convert to fraction form
    175,958/383,678 = 383,678/x
  3. Step 3: Cross multiply
    175,958x = 383,678 × 383,678
  4. Step 4: Simplify right side
    175,958x = 147,208,807,684
  5. Step 5: Solve for x
    x = 147,208,807,684/175,958
  6. Step 6: Final answer
    x = 836,613.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.