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Finding the Third Proportional to 130,041 and 270,391.50

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Solution

The third proportional to 130,041 and 270,391.50 is: 562,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,041 : 270,391.50 = 270,391.50 : x
  2. Step 2: Convert to fraction form
    130,041/270,391.50 = 270,391.50/x
  3. Step 3: Cross multiply
    130,041x = 270,391.50 × 270,391.50
  4. Step 4: Simplify right side
    130,041x = 73,111,563,272.25
  5. Step 5: Solve for x
    x = 73,111,563,272.25/130,041
  6. Step 6: Final answer
    x = 562,219.33

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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.