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Finding the Third Proportional to 136,040 and 296,176

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Solution

The third proportional to 136,040 and 296,176 is: 644,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,040 : 296,176 = 296,176 : x
  2. Step 2: Convert to fraction form
    136,040/296,176 = 296,176/x
  3. Step 3: Cross multiply
    136,040x = 296,176 × 296,176
  4. Step 4: Simplify right side
    136,040x = 87,720,222,976
  5. Step 5: Solve for x
    x = 87,720,222,976/136,040
  6. Step 6: Final answer
    x = 644,811.99

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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.