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Finding the Third Proportional to 167,582.25 and 359,147.25

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Solution

The third proportional to 167,582.25 and 359,147.25 is: 769,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,582.25 : 359,147.25 = 359,147.25 : x
  2. Step 2: Convert to fraction form
    167,582.25/359,147.25 = 359,147.25/x
  3. Step 3: Cross multiply
    167,582.25x = 359,147.25 × 359,147.25
  4. Step 4: Simplify right side
    167,582.25x = 128,986,747,182.56
  5. Step 5: Solve for x
    x = 128,986,747,182.56/167,582.25
  6. Step 6: Final answer
    x = 769,692.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.