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Finding the Third Proportional to 175,510 and 379,039

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Solution

The third proportional to 175,510 and 379,039 is: 818,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510 : 379,039 = 379,039 : x
  2. Step 2: Convert to fraction form
    175,510/379,039 = 379,039/x
  3. Step 3: Cross multiply
    175,510x = 379,039 × 379,039
  4. Step 4: Simplify right side
    175,510x = 143,670,563,521
  5. Step 5: Solve for x
    x = 143,670,563,521/175,510
  6. Step 6: Final answer
    x = 818,589.05

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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.