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Finding the Third Proportional to 174,998 and 383,894

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Solution

The third proportional to 174,998 and 383,894 is: 842,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,998 : 383,894 = 383,894 : x
  2. Step 2: Convert to fraction form
    174,998/383,894 = 383,894/x
  3. Step 3: Cross multiply
    174,998x = 383,894 × 383,894
  4. Step 4: Simplify right side
    174,998x = 147,374,603,236
  5. Step 5: Solve for x
    x = 147,374,603,236/174,998
  6. Step 6: Final answer
    x = 842,150.21

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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.