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Finding the Third Proportional to 165,504.94 and 255,742.88

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Solution

The third proportional to 165,504.94 and 255,742.88 is: 395,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,504.94 : 255,742.88 = 255,742.88 : x
  2. Step 2: Convert to fraction form
    165,504.94/255,742.88 = 255,742.88/x
  3. Step 3: Cross multiply
    165,504.94x = 255,742.88 × 255,742.88
  4. Step 4: Simplify right side
    165,504.94x = 65,404,418,113.27
  5. Step 5: Solve for x
    x = 65,404,418,113.27/165,504.94
  6. Step 6: Final answer
    x = 395,181.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.