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Finding the Third Proportional to 167,652 and 359,271

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Solution

The third proportional to 167,652 and 359,271 is: 769,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,652 : 359,271 = 359,271 : x
  2. Step 2: Convert to fraction form
    167,652/359,271 = 359,271/x
  3. Step 3: Cross multiply
    167,652x = 359,271 × 359,271
  4. Step 4: Simplify right side
    167,652x = 129,075,651,441
  5. Step 5: Solve for x
    x = 129,075,651,441/167,652
  6. Step 6: Final answer
    x = 769,902.25

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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.