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Finding the Third Proportional to 148,953 and 319,225

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Solution

The third proportional to 148,953 and 319,225 is: 684,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,953 : 319,225 = 319,225 : x
  2. Step 2: Convert to fraction form
    148,953/319,225 = 319,225/x
  3. Step 3: Cross multiply
    148,953x = 319,225 × 319,225
  4. Step 4: Simplify right side
    148,953x = 101,904,600,625
  5. Step 5: Solve for x
    x = 101,904,600,625/148,953
  6. Step 6: Final answer
    x = 684,139.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.