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Finding the Third Proportional to 193,744.50 and 410,536.88

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Solution

The third proportional to 193,744.50 and 410,536.88 is: 869,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,744.50 : 410,536.88 = 410,536.88 : x
  2. Step 2: Convert to fraction form
    193,744.50/410,536.88 = 410,536.88/x
  3. Step 3: Cross multiply
    193,744.50x = 410,536.88 × 410,536.88
  4. Step 4: Simplify right side
    193,744.50x = 168,540,525,734.77
  5. Step 5: Solve for x
    x = 168,540,525,734.77/193,744.50
  6. Step 6: Final answer
    x = 869,911.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.