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Finding the Third Proportional to 237,900 and 347,918

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Solution

The third proportional to 237,900 and 347,918 is: 508,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,900 : 347,918 = 347,918 : x
  2. Step 2: Convert to fraction form
    237,900/347,918 = 347,918/x
  3. Step 3: Cross multiply
    237,900x = 347,918 × 347,918
  4. Step 4: Simplify right side
    237,900x = 121,046,934,724
  5. Step 5: Solve for x
    x = 121,046,934,724/237,900
  6. Step 6: Final answer
    x = 508,814.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.