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Finding the Third Proportional to 169,774 and 258,349.50

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Solution

The third proportional to 169,774 and 258,349.50 is: 393,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,774 : 258,349.50 = 258,349.50 : x
  2. Step 2: Convert to fraction form
    169,774/258,349.50 = 258,349.50/x
  3. Step 3: Cross multiply
    169,774x = 258,349.50 × 258,349.50
  4. Step 4: Simplify right side
    169,774x = 66,744,464,150.25
  5. Step 5: Solve for x
    x = 66,744,464,150.25/169,774
  6. Step 6: Final answer
    x = 393,137.14

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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.