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Finding the Third Proportional to 117,262 and 238,662.50

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Solution

The third proportional to 117,262 and 238,662.50 is: 485,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,262 : 238,662.50 = 238,662.50 : x
  2. Step 2: Convert to fraction form
    117,262/238,662.50 = 238,662.50/x
  3. Step 3: Cross multiply
    117,262x = 238,662.50 × 238,662.50
  4. Step 4: Simplify right side
    117,262x = 56,959,788,906.25
  5. Step 5: Solve for x
    x = 56,959,788,906.25/117,262
  6. Step 6: Final answer
    x = 485,748.06

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.