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Finding the Third Proportional to 182,235 and 394,421.50

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Solution

The third proportional to 182,235 and 394,421.50 is: 853,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,235 : 394,421.50 = 394,421.50 : x
  2. Step 2: Convert to fraction form
    182,235/394,421.50 = 394,421.50/x
  3. Step 3: Cross multiply
    182,235x = 394,421.50 × 394,421.50
  4. Step 4: Simplify right side
    182,235x = 155,568,319,662.25
  5. Step 5: Solve for x
    x = 155,568,319,662.25/182,235
  6. Step 6: Final answer
    x = 853,668.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.