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Finding the Third Proportional to 167,106.84 and 360,847.97

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Solution

The third proportional to 167,106.84 and 360,847.97 is: 779,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,106.84 : 360,847.97 = 360,847.97 : x
  2. Step 2: Convert to fraction form
    167,106.84/360,847.97 = 360,847.97/x
  3. Step 3: Cross multiply
    167,106.84x = 360,847.97 × 360,847.97
  4. Step 4: Simplify right side
    167,106.84x = 130,211,256,551.00
  5. Step 5: Solve for x
    x = 130,211,256,551.00/167,106.84
  6. Step 6: Final answer
    x = 779,209.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.