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Finding the Third Proportional to 174,411 and 376,698

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Solution

The third proportional to 174,411 and 376,698 is: 813,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,411 : 376,698 = 376,698 : x
  2. Step 2: Convert to fraction form
    174,411/376,698 = 376,698/x
  3. Step 3: Cross multiply
    174,411x = 376,698 × 376,698
  4. Step 4: Simplify right side
    174,411x = 141,901,383,204
  5. Step 5: Solve for x
    x = 141,901,383,204/174,411
  6. Step 6: Final answer
    x = 813,603.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.