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Finding the Third Proportional to 148,664.25 and 211,923

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Solution

The third proportional to 148,664.25 and 211,923 is: 302,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,664.25 : 211,923 = 211,923 : x
  2. Step 2: Convert to fraction form
    148,664.25/211,923 = 211,923/x
  3. Step 3: Cross multiply
    148,664.25x = 211,923 × 211,923
  4. Step 4: Simplify right side
    148,664.25x = 44,911,357,929
  5. Step 5: Solve for x
    x = 44,911,357,929/148,664.25
  6. Step 6: Final answer
    x = 302,099.25

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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.