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Finding the Third Proportional to 169,773 and 258,350.50

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Solution

The third proportional to 169,773 and 258,350.50 is: 393,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,773 : 258,350.50 = 258,350.50 : x
  2. Step 2: Convert to fraction form
    169,773/258,350.50 = 258,350.50/x
  3. Step 3: Cross multiply
    169,773x = 258,350.50 × 258,350.50
  4. Step 4: Simplify right side
    169,773x = 66,744,980,850.25
  5. Step 5: Solve for x
    x = 66,744,980,850.25/169,773
  6. Step 6: Final answer
    x = 393,142.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.