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Finding the Third Proportional to 176,704 and 383,104

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Solution

The third proportional to 176,704 and 383,104 is: 830,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,704 : 383,104 = 383,104 : x
  2. Step 2: Convert to fraction form
    176,704/383,104 = 383,104/x
  3. Step 3: Cross multiply
    176,704x = 383,104 × 383,104
  4. Step 4: Simplify right side
    176,704x = 146,768,674,816
  5. Step 5: Solve for x
    x = 146,768,674,816/176,704
  6. Step 6: Final answer
    x = 830,590.56

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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.