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Finding the Third Proportional to 147,657.94 and 221,441.34

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Solution

The third proportional to 147,657.94 and 221,441.34 is: 332,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,657.94 : 221,441.34 = 221,441.34 : x
  2. Step 2: Convert to fraction form
    147,657.94/221,441.34 = 221,441.34/x
  3. Step 3: Cross multiply
    147,657.94x = 221,441.34 × 221,441.34
  4. Step 4: Simplify right side
    147,657.94x = 49,036,268,721.81
  5. Step 5: Solve for x
    x = 49,036,268,721.81/147,657.94
  6. Step 6: Final answer
    x = 332,093.69

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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.