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Finding the Third Proportional to 117,526.50 and 258,381

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Solution

The third proportional to 117,526.50 and 258,381 is: 568,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,526.50 : 258,381 = 258,381 : x
  2. Step 2: Convert to fraction form
    117,526.50/258,381 = 258,381/x
  3. Step 3: Cross multiply
    117,526.50x = 258,381 × 258,381
  4. Step 4: Simplify right side
    117,526.50x = 66,760,741,161
  5. Step 5: Solve for x
    x = 66,760,741,161/117,526.50
  6. Step 6: Final answer
    x = 568,048.41

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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.