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Finding the Third Proportional to 237,264 and 320,256

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Solution

The third proportional to 237,264 and 320,256 is: 432,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,264 : 320,256 = 320,256 : x
  2. Step 2: Convert to fraction form
    237,264/320,256 = 320,256/x
  3. Step 3: Cross multiply
    237,264x = 320,256 × 320,256
  4. Step 4: Simplify right side
    237,264x = 102,563,905,536
  5. Step 5: Solve for x
    x = 102,563,905,536/237,264
  6. Step 6: Final answer
    x = 432,277.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.