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Finding the Third Proportional to 68,824 and 150,768

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Solution

The third proportional to 68,824 and 150,768 is: 330,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,824 : 150,768 = 150,768 : x
  2. Step 2: Convert to fraction form
    68,824/150,768 = 150,768/x
  3. Step 3: Cross multiply
    68,824x = 150,768 × 150,768
  4. Step 4: Simplify right side
    68,824x = 22,730,989,824
  5. Step 5: Solve for x
    x = 22,730,989,824/68,824
  6. Step 6: Final answer
    x = 330,277.08

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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.