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Finding the Third Proportional to 130,033 and 270,375

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Solution

The third proportional to 130,033 and 270,375 is: 562,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033 : 270,375 = 270,375 : x
  2. Step 2: Convert to fraction form
    130,033/270,375 = 270,375/x
  3. Step 3: Cross multiply
    130,033x = 270,375 × 270,375
  4. Step 4: Simplify right side
    130,033x = 73,102,640,625
  5. Step 5: Solve for x
    x = 73,102,640,625/130,033
  6. Step 6: Final answer
    x = 562,185.30

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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.