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Finding the Third Proportional to 237,763 and 352,714

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Solution

The third proportional to 237,763 and 352,714 is: 523,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,763 : 352,714 = 352,714 : x
  2. Step 2: Convert to fraction form
    237,763/352,714 = 352,714/x
  3. Step 3: Cross multiply
    237,763x = 352,714 × 352,714
  4. Step 4: Simplify right side
    237,763x = 124,407,165,796
  5. Step 5: Solve for x
    x = 124,407,165,796/237,763
  6. Step 6: Final answer
    x = 523,240.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.