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Finding the Third Proportional to 237,948 and 347,970

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Solution

The third proportional to 237,948 and 347,970 is: 508,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,948 : 347,970 = 347,970 : x
  2. Step 2: Convert to fraction form
    237,948/347,970 = 347,970/x
  3. Step 3: Cross multiply
    237,948x = 347,970 × 347,970
  4. Step 4: Simplify right side
    237,948x = 121,083,120,900
  5. Step 5: Solve for x
    x = 121,083,120,900/237,948
  6. Step 6: Final answer
    x = 508,863.79

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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.