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Finding the Third Proportional to 154,824 and 335,412

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Solution

The third proportional to 154,824 and 335,412 is: 726,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,824 : 335,412 = 335,412 : x
  2. Step 2: Convert to fraction form
    154,824/335,412 = 335,412/x
  3. Step 3: Cross multiply
    154,824x = 335,412 × 335,412
  4. Step 4: Simplify right side
    154,824x = 112,501,209,744
  5. Step 5: Solve for x
    x = 112,501,209,744/154,824
  6. Step 6: Final answer
    x = 726,639.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.