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Finding the Third Proportional to 115,695 and 252,402.75

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Solution

The third proportional to 115,695 and 252,402.75 is: 550,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,695 : 252,402.75 = 252,402.75 : x
  2. Step 2: Convert to fraction form
    115,695/252,402.75 = 252,402.75/x
  3. Step 3: Cross multiply
    115,695x = 252,402.75 × 252,402.75
  4. Step 4: Simplify right side
    115,695x = 63,707,148,207.56
  5. Step 5: Solve for x
    x = 63,707,148,207.56/115,695
  6. Step 6: Final answer
    x = 550,647.38

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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.