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Finding the Third Proportional to 179,146 and 270,735

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Solution

The third proportional to 179,146 and 270,735 is: 409,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,146 : 270,735 = 270,735 : x
  2. Step 2: Convert to fraction form
    179,146/270,735 = 270,735/x
  3. Step 3: Cross multiply
    179,146x = 270,735 × 270,735
  4. Step 4: Simplify right side
    179,146x = 73,297,440,225
  5. Step 5: Solve for x
    x = 73,297,440,225/179,146
  6. Step 6: Final answer
    x = 409,149.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.