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Finding the Third Proportional to 149,713 and 232,256

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Solution

The third proportional to 149,713 and 232,256 is: 360,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713 : 232,256 = 232,256 : x
  2. Step 2: Convert to fraction form
    149,713/232,256 = 232,256/x
  3. Step 3: Cross multiply
    149,713x = 232,256 × 232,256
  4. Step 4: Simplify right side
    149,713x = 53,942,849,536
  5. Step 5: Solve for x
    x = 53,942,849,536/149,713
  6. Step 6: Final answer
    x = 360,308.39

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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.