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Finding the Third Proportional to 235,296 and 355,138

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Solution

The third proportional to 235,296 and 355,138 is: 536,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,296 : 355,138 = 355,138 : x
  2. Step 2: Convert to fraction form
    235,296/355,138 = 355,138/x
  3. Step 3: Cross multiply
    235,296x = 355,138 × 355,138
  4. Step 4: Simplify right side
    235,296x = 126,122,999,044
  5. Step 5: Solve for x
    x = 126,122,999,044/235,296
  6. Step 6: Final answer
    x = 536,018.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.