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Finding the Third Proportional to 117,511.50 and 258,351

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Solution

The third proportional to 117,511.50 and 258,351 is: 567,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,511.50 : 258,351 = 258,351 : x
  2. Step 2: Convert to fraction form
    117,511.50/258,351 = 258,351/x
  3. Step 3: Cross multiply
    117,511.50x = 258,351 × 258,351
  4. Step 4: Simplify right side
    117,511.50x = 66,745,239,201
  5. Step 5: Solve for x
    x = 66,745,239,201/117,511.50
  6. Step 6: Final answer
    x = 567,989.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.