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Finding the Third Proportional to 176,886 and 383,674

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Solution

The third proportional to 176,886 and 383,674 is: 832,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,886 : 383,674 = 383,674 : x
  2. Step 2: Convert to fraction form
    176,886/383,674 = 383,674/x
  3. Step 3: Cross multiply
    176,886x = 383,674 × 383,674
  4. Step 4: Simplify right side
    176,886x = 147,205,738,276
  5. Step 5: Solve for x
    x = 147,205,738,276/176,886
  6. Step 6: Final answer
    x = 832,206.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.