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Finding the Third Proportional to 181,837 and 397,532

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Solution

The third proportional to 181,837 and 397,532 is: 869,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,837 : 397,532 = 397,532 : x
  2. Step 2: Convert to fraction form
    181,837/397,532 = 397,532/x
  3. Step 3: Cross multiply
    181,837x = 397,532 × 397,532
  4. Step 4: Simplify right side
    181,837x = 158,031,691,024
  5. Step 5: Solve for x
    x = 158,031,691,024/181,837
  6. Step 6: Final answer
    x = 869,084.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.