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Finding the Third Proportional to 157,808 and 244,824

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Solution

The third proportional to 157,808 and 244,824 is: 379,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,808 : 244,824 = 244,824 : x
  2. Step 2: Convert to fraction form
    157,808/244,824 = 244,824/x
  3. Step 3: Cross multiply
    157,808x = 244,824 × 244,824
  4. Step 4: Simplify right side
    157,808x = 59,938,790,976
  5. Step 5: Solve for x
    x = 59,938,790,976/157,808
  6. Step 6: Final answer
    x = 379,820.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.