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Finding the Third Proportional to 147,558.50 and 221,338

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Solution

The third proportional to 147,558.50 and 221,338 is: 332,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,558.50 : 221,338 = 221,338 : x
  2. Step 2: Convert to fraction form
    147,558.50/221,338 = 221,338/x
  3. Step 3: Cross multiply
    147,558.50x = 221,338 × 221,338
  4. Step 4: Simplify right side
    147,558.50x = 48,990,510,244
  5. Step 5: Solve for x
    x = 48,990,510,244/147,558.50
  6. Step 6: Final answer
    x = 332,007.38

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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.