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Finding the Third Proportional to 115,191 and 180,310.88

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Solution

The third proportional to 115,191 and 180,310.88 is: 282,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,191 : 180,310.88 = 180,310.88 : x
  2. Step 2: Convert to fraction form
    115,191/180,310.88 = 180,310.88/x
  3. Step 3: Cross multiply
    115,191x = 180,310.88 × 180,310.88
  4. Step 4: Simplify right side
    115,191x = 32,512,011,643.27
  5. Step 5: Solve for x
    x = 32,512,011,643.27/115,191
  6. Step 6: Final answer
    x = 282,244.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.