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Finding the Third Proportional to 165,999 and 238,630.50

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Solution

The third proportional to 165,999 and 238,630.50 is: 343,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,999 : 238,630.50 = 238,630.50 : x
  2. Step 2: Convert to fraction form
    165,999/238,630.50 = 238,630.50/x
  3. Step 3: Cross multiply
    165,999x = 238,630.50 × 238,630.50
  4. Step 4: Simplify right side
    165,999x = 56,944,515,530.25
  5. Step 5: Solve for x
    x = 56,944,515,530.25/165,999
  6. Step 6: Final answer
    x = 343,041.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.