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Finding the Third Proportional to 169,089 and 253,167.75

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Solution

The third proportional to 169,089 and 253,167.75 is: 379,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,089 : 253,167.75 = 253,167.75 : x
  2. Step 2: Convert to fraction form
    169,089/253,167.75 = 253,167.75/x
  3. Step 3: Cross multiply
    169,089x = 253,167.75 × 253,167.75
  4. Step 4: Simplify right side
    169,089x = 64,093,909,640.06
  5. Step 5: Solve for x
    x = 64,093,909,640.06/169,089
  6. Step 6: Final answer
    x = 379,054.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.