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Finding the Third Proportional to 148,026 and 319,698

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Solution

The third proportional to 148,026 and 319,698 is: 690,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,026 : 319,698 = 319,698 : x
  2. Step 2: Convert to fraction form
    148,026/319,698 = 319,698/x
  3. Step 3: Cross multiply
    148,026x = 319,698 × 319,698
  4. Step 4: Simplify right side
    148,026x = 102,206,811,204
  5. Step 5: Solve for x
    x = 102,206,811,204/148,026
  6. Step 6: Final answer
    x = 690,465.26

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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.