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Finding the Third Proportional to 210,073.50 and 275,744.25

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Solution

The third proportional to 210,073.50 and 275,744.25 is: 361,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,073.50 : 275,744.25 = 275,744.25 : x
  2. Step 2: Convert to fraction form
    210,073.50/275,744.25 = 275,744.25/x
  3. Step 3: Cross multiply
    210,073.50x = 275,744.25 × 275,744.25
  4. Step 4: Simplify right side
    210,073.50x = 76,034,891,408.06
  5. Step 5: Solve for x
    x = 76,034,891,408.06/210,073.50
  6. Step 6: Final answer
    x = 361,944.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.