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Finding the Third Proportional to 171,577.50 and 258,628.50

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Solution

The third proportional to 171,577.50 and 258,628.50 is: 389,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,577.50 : 258,628.50 = 258,628.50 : x
  2. Step 2: Convert to fraction form
    171,577.50/258,628.50 = 258,628.50/x
  3. Step 3: Cross multiply
    171,577.50x = 258,628.50 × 258,628.50
  4. Step 4: Simplify right side
    171,577.50x = 66,888,701,012.25
  5. Step 5: Solve for x
    x = 66,888,701,012.25/171,577.50
  6. Step 6: Final answer
    x = 389,845.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.