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Finding the Third Proportional to 237,478 and 367,242

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Solution

The third proportional to 237,478 and 367,242 is: 567,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,478 : 367,242 = 367,242 : x
  2. Step 2: Convert to fraction form
    237,478/367,242 = 367,242/x
  3. Step 3: Cross multiply
    237,478x = 367,242 × 367,242
  4. Step 4: Simplify right side
    237,478x = 134,866,686,564
  5. Step 5: Solve for x
    x = 134,866,686,564/237,478
  6. Step 6: Final answer
    x = 567,912.34

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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.