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Finding the Third Proportional to 193,744.13 and 410,536.13

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Solution

The third proportional to 193,744.13 and 410,536.13 is: 869,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,744.13 : 410,536.13 = 410,536.13 : x
  2. Step 2: Convert to fraction form
    193,744.13/410,536.13 = 410,536.13/x
  3. Step 3: Cross multiply
    193,744.13x = 410,536.13 × 410,536.13
  4. Step 4: Simplify right side
    193,744.13x = 168,539,909,930.02
  5. Step 5: Solve for x
    x = 168,539,909,930.02/193,744.13
  6. Step 6: Final answer
    x = 869,909.78

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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.