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Finding the Third Proportional to 148,452 and 319,866.75

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Solution

The third proportional to 148,452 and 319,866.75 is: 689,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,452 : 319,866.75 = 319,866.75 : x
  2. Step 2: Convert to fraction form
    148,452/319,866.75 = 319,866.75/x
  3. Step 3: Cross multiply
    148,452x = 319,866.75 × 319,866.75
  4. Step 4: Simplify right side
    148,452x = 102,314,737,755.56
  5. Step 5: Solve for x
    x = 102,314,737,755.56/148,452
  6. Step 6: Final answer
    x = 689,210.91

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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.