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Finding the Third Proportional to 173,088 and 383,748

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Solution

The third proportional to 173,088 and 383,748 is: 850,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,088 : 383,748 = 383,748 : x
  2. Step 2: Convert to fraction form
    173,088/383,748 = 383,748/x
  3. Step 3: Cross multiply
    173,088x = 383,748 × 383,748
  4. Step 4: Simplify right side
    173,088x = 147,262,527,504
  5. Step 5: Solve for x
    x = 147,262,527,504/173,088
  6. Step 6: Final answer
    x = 850,795.71

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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.