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Finding the Third Proportional to 181,397 and 423,592

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Solution

The third proportional to 181,397 and 423,592 is: 989,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,397 : 423,592 = 423,592 : x
  2. Step 2: Convert to fraction form
    181,397/423,592 = 423,592/x
  3. Step 3: Cross multiply
    181,397x = 423,592 × 423,592
  4. Step 4: Simplify right side
    181,397x = 179,430,182,464
  5. Step 5: Solve for x
    x = 179,430,182,464/181,397
  6. Step 6: Final answer
    x = 989,157.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.