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Finding the Third Proportional to 167,570 and 359,126

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Solution

The third proportional to 167,570 and 359,126 is: 769,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,570 : 359,126 = 359,126 : x
  2. Step 2: Convert to fraction form
    167,570/359,126 = 359,126/x
  3. Step 3: Cross multiply
    167,570x = 359,126 × 359,126
  4. Step 4: Simplify right side
    167,570x = 128,971,483,876
  5. Step 5: Solve for x
    x = 128,971,483,876/167,570
  6. Step 6: Final answer
    x = 769,657.36

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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.