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Finding the Third Proportional to 148,398 and 319,026

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Solution

The third proportional to 148,398 and 319,026 is: 685,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,398 : 319,026 = 319,026 : x
  2. Step 2: Convert to fraction form
    148,398/319,026 = 319,026/x
  3. Step 3: Cross multiply
    148,398x = 319,026 × 319,026
  4. Step 4: Simplify right side
    148,398x = 101,777,588,676
  5. Step 5: Solve for x
    x = 101,777,588,676/148,398
  6. Step 6: Final answer
    x = 685,842.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.