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Finding the Third Proportional to 167,580.56 and 359,145.56

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Solution

The third proportional to 167,580.56 and 359,145.56 is: 769,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,580.56 : 359,145.56 = 359,145.56 : x
  2. Step 2: Convert to fraction form
    167,580.56/359,145.56 = 359,145.56/x
  3. Step 3: Cross multiply
    167,580.56x = 359,145.56 × 359,145.56
  4. Step 4: Simplify right side
    167,580.56x = 128,985,535,063.44
  5. Step 5: Solve for x
    x = 128,985,535,063.44/167,580.56
  6. Step 6: Final answer
    x = 769,692.70

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Why These Related Problems?

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