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Finding the Third Proportional to 162,458.06 and 362,270.06

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Solution

The third proportional to 162,458.06 and 362,270.06 is: 807,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,458.06 : 362,270.06 = 362,270.06 : x
  2. Step 2: Convert to fraction form
    162,458.06/362,270.06 = 362,270.06/x
  3. Step 3: Cross multiply
    162,458.06x = 362,270.06 × 362,270.06
  4. Step 4: Simplify right side
    162,458.06x = 131,239,598,183.75
  5. Step 5: Solve for x
    x = 131,239,598,183.75/162,458.06
  6. Step 6: Final answer
    x = 807,836.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.