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Finding the Third Proportional to 176,676.75 and 383,458.50

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Solution

The third proportional to 176,676.75 and 383,458.50 is: 832,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,676.75 : 383,458.50 = 383,458.50 : x
  2. Step 2: Convert to fraction form
    176,676.75/383,458.50 = 383,458.50/x
  3. Step 3: Cross multiply
    176,676.75x = 383,458.50 × 383,458.50
  4. Step 4: Simplify right side
    176,676.75x = 147,040,421,222.25
  5. Step 5: Solve for x
    x = 147,040,421,222.25/176,676.75
  6. Step 6: Final answer
    x = 832,256.77

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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.