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Finding the Third Proportional to 135,182 and 294,148

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Solution

The third proportional to 135,182 and 294,148 is: 640,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,182 : 294,148 = 294,148 : x
  2. Step 2: Convert to fraction form
    135,182/294,148 = 294,148/x
  3. Step 3: Cross multiply
    135,182x = 294,148 × 294,148
  4. Step 4: Simplify right side
    135,182x = 86,523,045,904
  5. Step 5: Solve for x
    x = 86,523,045,904/135,182
  6. Step 6: Final answer
    x = 640,048.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.