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Finding the Third Proportional to 131,133 and 273,336

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Solution

The third proportional to 131,133 and 273,336 is: 569,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,133 : 273,336 = 273,336 : x
  2. Step 2: Convert to fraction form
    131,133/273,336 = 273,336/x
  3. Step 3: Cross multiply
    131,133x = 273,336 × 273,336
  4. Step 4: Simplify right side
    131,133x = 74,712,568,896
  5. Step 5: Solve for x
    x = 74,712,568,896/131,133
  6. Step 6: Final answer
    x = 569,746.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.