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Finding the Third Proportional to 145,233 and 303,768

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Solution

The third proportional to 145,233 and 303,768 is: 635,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,233 : 303,768 = 303,768 : x
  2. Step 2: Convert to fraction form
    145,233/303,768 = 303,768/x
  3. Step 3: Cross multiply
    145,233x = 303,768 × 303,768
  4. Step 4: Simplify right side
    145,233x = 92,274,997,824
  5. Step 5: Solve for x
    x = 92,274,997,824/145,233
  6. Step 6: Final answer
    x = 635,358.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.