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Finding the Third Proportional to 155,192 and 237,296

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Solution

The third proportional to 155,192 and 237,296 is: 362,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,192 : 237,296 = 237,296 : x
  2. Step 2: Convert to fraction form
    155,192/237,296 = 237,296/x
  3. Step 3: Cross multiply
    155,192x = 237,296 × 237,296
  4. Step 4: Simplify right side
    155,192x = 56,309,391,616
  5. Step 5: Solve for x
    x = 56,309,391,616/155,192
  6. Step 6: Final answer
    x = 362,836.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.