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Finding the Third Proportional to 139,504 and 302,188

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Solution

The third proportional to 139,504 and 302,188 is: 654,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,504 : 302,188 = 302,188 : x
  2. Step 2: Convert to fraction form
    139,504/302,188 = 302,188/x
  3. Step 3: Cross multiply
    139,504x = 302,188 × 302,188
  4. Step 4: Simplify right side
    139,504x = 91,317,587,344
  5. Step 5: Solve for x
    x = 91,317,587,344/139,504
  6. Step 6: Final answer
    x = 654,587.59

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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.