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Finding the Third Proportional to 165,934.50 and 364,125

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Solution

The third proportional to 165,934.50 and 364,125 is: 799,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,934.50 : 364,125 = 364,125 : x
  2. Step 2: Convert to fraction form
    165,934.50/364,125 = 364,125/x
  3. Step 3: Cross multiply
    165,934.50x = 364,125 × 364,125
  4. Step 4: Simplify right side
    165,934.50x = 132,587,015,625
  5. Step 5: Solve for x
    x = 132,587,015,625/165,934.50
  6. Step 6: Final answer
    x = 799,032.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.