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Finding the Third Proportional to 148,297 and 319,923

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Solution

The third proportional to 148,297 and 319,923 is: 690,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,297 : 319,923 = 319,923 : x
  2. Step 2: Convert to fraction form
    148,297/319,923 = 319,923/x
  3. Step 3: Cross multiply
    148,297x = 319,923 × 319,923
  4. Step 4: Simplify right side
    148,297x = 102,350,725,929
  5. Step 5: Solve for x
    x = 102,350,725,929/148,297
  6. Step 6: Final answer
    x = 690,173.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.