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Finding the Third Proportional to 173,045 and 383,666

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Solution

The third proportional to 173,045 and 383,666 is: 850,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,045 : 383,666 = 383,666 : x
  2. Step 2: Convert to fraction form
    173,045/383,666 = 383,666/x
  3. Step 3: Cross multiply
    173,045x = 383,666 × 383,666
  4. Step 4: Simplify right side
    173,045x = 147,199,599,556
  5. Step 5: Solve for x
    x = 147,199,599,556/173,045
  6. Step 6: Final answer
    x = 850,643.47

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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.