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Finding the Third Proportional to 169,774.50 and 258,350.25

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Solution

The third proportional to 169,774.50 and 258,350.25 is: 393,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,774.50 : 258,350.25 = 258,350.25 : x
  2. Step 2: Convert to fraction form
    169,774.50/258,350.25 = 258,350.25/x
  3. Step 3: Cross multiply
    169,774.50x = 258,350.25 × 258,350.25
  4. Step 4: Simplify right side
    169,774.50x = 66,744,851,675.06
  5. Step 5: Solve for x
    x = 66,744,851,675.06/169,774.50
  6. Step 6: Final answer
    x = 393,138.26

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Why These Related Problems?

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