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Finding the Third Proportional to 148,304 and 319,936

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Solution

The third proportional to 148,304 and 319,936 is: 690,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,304 : 319,936 = 319,936 : x
  2. Step 2: Convert to fraction form
    148,304/319,936 = 319,936/x
  3. Step 3: Cross multiply
    148,304x = 319,936 × 319,936
  4. Step 4: Simplify right side
    148,304x = 102,359,044,096
  5. Step 5: Solve for x
    x = 102,359,044,096/148,304
  6. Step 6: Final answer
    x = 690,197.46

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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.