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Finding the Third Proportional to 201,169.83 and 439,706.60

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Solution

The third proportional to 201,169.83 and 439,706.60 is: 961,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,169.83 : 439,706.60 = 439,706.60 : x
  2. Step 2: Convert to fraction form
    201,169.83/439,706.60 = 439,706.60/x
  3. Step 3: Cross multiply
    201,169.83x = 439,706.60 × 439,706.60
  4. Step 4: Simplify right side
    201,169.83x = 193,341,895,457.64
  5. Step 5: Solve for x
    x = 193,341,895,457.64/201,169.83
  6. Step 6: Final answer
    x = 961,087.94

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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.