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Finding the Third Proportional to 147,615 and 305,735

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Solution

The third proportional to 147,615 and 305,735 is: 633,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,615 : 305,735 = 305,735 : x
  2. Step 2: Convert to fraction form
    147,615/305,735 = 305,735/x
  3. Step 3: Cross multiply
    147,615x = 305,735 × 305,735
  4. Step 4: Simplify right side
    147,615x = 93,473,890,225
  5. Step 5: Solve for x
    x = 93,473,890,225/147,615
  6. Step 6: Final answer
    x = 633,227.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.