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Finding the Third Proportional to 70,778 and 154,044

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Solution

The third proportional to 70,778 and 154,044 is: 335,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,778 : 154,044 = 154,044 : x
  2. Step 2: Convert to fraction form
    70,778/154,044 = 154,044/x
  3. Step 3: Cross multiply
    70,778x = 154,044 × 154,044
  4. Step 4: Simplify right side
    70,778x = 23,729,553,936
  5. Step 5: Solve for x
    x = 23,729,553,936/70,778
  6. Step 6: Final answer
    x = 335,267.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.