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Finding the Third Proportional to 117,505.50 and 258,339

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Solution

The third proportional to 117,505.50 and 258,339 is: 567,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,505.50 : 258,339 = 258,339 : x
  2. Step 2: Convert to fraction form
    117,505.50/258,339 = 258,339/x
  3. Step 3: Cross multiply
    117,505.50x = 258,339 × 258,339
  4. Step 4: Simplify right side
    117,505.50x = 66,739,038,921
  5. Step 5: Solve for x
    x = 66,739,038,921/117,505.50
  6. Step 6: Final answer
    x = 567,965.23

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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.