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Finding the Third Proportional to 165,822.75 and 389,783.25

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Solution

The third proportional to 165,822.75 and 389,783.25 is: 916,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,822.75 : 389,783.25 = 389,783.25 : x
  2. Step 2: Convert to fraction form
    165,822.75/389,783.25 = 389,783.25/x
  3. Step 3: Cross multiply
    165,822.75x = 389,783.25 × 389,783.25
  4. Step 4: Simplify right side
    165,822.75x = 151,930,981,980.56
  5. Step 5: Solve for x
    x = 151,930,981,980.56/165,822.75
  6. Step 6: Final answer
    x = 916,225.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.