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Finding the Third Proportional to 148,016 and 319,684

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Solution

The third proportional to 148,016 and 319,684 is: 690,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,016 : 319,684 = 319,684 : x
  2. Step 2: Convert to fraction form
    148,016/319,684 = 319,684/x
  3. Step 3: Cross multiply
    148,016x = 319,684 × 319,684
  4. Step 4: Simplify right side
    148,016x = 102,197,859,856
  5. Step 5: Solve for x
    x = 102,197,859,856/148,016
  6. Step 6: Final answer
    x = 690,451.44

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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.