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Finding the Third Proportional to 173,034 and 383,643

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Solution

The third proportional to 173,034 and 383,643 is: 850,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,034 : 383,643 = 383,643 : x
  2. Step 2: Convert to fraction form
    173,034/383,643 = 383,643/x
  3. Step 3: Cross multiply
    173,034x = 383,643 × 383,643
  4. Step 4: Simplify right side
    173,034x = 147,181,951,449
  5. Step 5: Solve for x
    x = 147,181,951,449/173,034
  6. Step 6: Final answer
    x = 850,595.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.