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Finding the Third Proportional to 167,166 and 359,172

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Solution

The third proportional to 167,166 and 359,172 is: 771,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,166 : 359,172 = 359,172 : x
  2. Step 2: Convert to fraction form
    167,166/359,172 = 359,172/x
  3. Step 3: Cross multiply
    167,166x = 359,172 × 359,172
  4. Step 4: Simplify right side
    167,166x = 129,004,525,584
  5. Step 5: Solve for x
    x = 129,004,525,584/167,166
  6. Step 6: Final answer
    x = 771,715.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.