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Finding the Third Proportional to 148,690.69 and 211,964.06

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Solution

The third proportional to 148,690.69 and 211,964.06 is: 302,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,690.69 : 211,964.06 = 211,964.06 : x
  2. Step 2: Convert to fraction form
    148,690.69/211,964.06 = 211,964.06/x
  3. Step 3: Cross multiply
    148,690.69x = 211,964.06 × 211,964.06
  4. Step 4: Simplify right side
    148,690.69x = 44,928,763,791.50
  5. Step 5: Solve for x
    x = 44,928,763,791.50/148,690.69
  6. Step 6: Final answer
    x = 302,162.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.