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Finding the Third Proportional to 237,347 and 367,385

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Solution

The third proportional to 237,347 and 367,385 is: 568,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,347 : 367,385 = 367,385 : x
  2. Step 2: Convert to fraction form
    237,347/367,385 = 367,385/x
  3. Step 3: Cross multiply
    237,347x = 367,385 × 367,385
  4. Step 4: Simplify right side
    237,347x = 134,971,738,225
  5. Step 5: Solve for x
    x = 134,971,738,225/237,347
  6. Step 6: Final answer
    x = 568,668.40

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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.