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Finding the Third Proportional to 157,824 and 335,736

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Solution

The third proportional to 157,824 and 335,736 is: 714,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,824 : 335,736 = 335,736 : x
  2. Step 2: Convert to fraction form
    157,824/335,736 = 335,736/x
  3. Step 3: Cross multiply
    157,824x = 335,736 × 335,736
  4. Step 4: Simplify right side
    157,824x = 112,718,661,696
  5. Step 5: Solve for x
    x = 112,718,661,696/157,824
  6. Step 6: Final answer
    x = 714,204.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.