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Finding the Third Proportional to 237,360 and 367,400

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Solution

The third proportional to 237,360 and 367,400 is: 568,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,360 : 367,400 = 367,400 : x
  2. Step 2: Convert to fraction form
    237,360/367,400 = 367,400/x
  3. Step 3: Cross multiply
    237,360x = 367,400 × 367,400
  4. Step 4: Simplify right side
    237,360x = 134,982,760,000
  5. Step 5: Solve for x
    x = 134,982,760,000/237,360
  6. Step 6: Final answer
    x = 568,683.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.