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Finding the Third Proportional to 155,204 and 237,318

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Solution

The third proportional to 155,204 and 237,318 is: 362,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,204 : 237,318 = 237,318 : x
  2. Step 2: Convert to fraction form
    155,204/237,318 = 237,318/x
  3. Step 3: Cross multiply
    155,204x = 237,318 × 237,318
  4. Step 4: Simplify right side
    155,204x = 56,319,833,124
  5. Step 5: Solve for x
    x = 56,319,833,124/155,204
  6. Step 6: Final answer
    x = 362,876.17

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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.