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Finding the Third Proportional to 167,202 and 366,115.50

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Solution

The third proportional to 167,202 and 366,115.50 is: 801,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,202 : 366,115.50 = 366,115.50 : x
  2. Step 2: Convert to fraction form
    167,202/366,115.50 = 366,115.50/x
  3. Step 3: Cross multiply
    167,202x = 366,115.50 × 366,115.50
  4. Step 4: Simplify right side
    167,202x = 134,040,559,340.25
  5. Step 5: Solve for x
    x = 134,040,559,340.25/167,202
  6. Step 6: Final answer
    x = 801,668.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.