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Finding the Third Proportional to 233,501 and 356,084

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Solution

The third proportional to 233,501 and 356,084 is: 543,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,501 : 356,084 = 356,084 : x
  2. Step 2: Convert to fraction form
    233,501/356,084 = 356,084/x
  3. Step 3: Cross multiply
    233,501x = 356,084 × 356,084
  4. Step 4: Simplify right side
    233,501x = 126,795,815,056
  5. Step 5: Solve for x
    x = 126,795,815,056/233,501
  6. Step 6: Final answer
    x = 543,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.