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Finding the Third Proportional to 148,647 and 223,018.50

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Solution

The third proportional to 148,647 and 223,018.50 is: 334,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,647 : 223,018.50 = 223,018.50 : x
  2. Step 2: Convert to fraction form
    148,647/223,018.50 = 223,018.50/x
  3. Step 3: Cross multiply
    148,647x = 223,018.50 × 223,018.50
  4. Step 4: Simplify right side
    148,647x = 49,737,251,342.25
  5. Step 5: Solve for x
    x = 49,737,251,342.25/148,647
  6. Step 6: Final answer
    x = 334,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.