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Finding the Third Proportional to 80,435 and 173,336

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Solution

The third proportional to 80,435 and 173,336 is: 373,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,435 : 173,336 = 173,336 : x
  2. Step 2: Convert to fraction form
    80,435/173,336 = 173,336/x
  3. Step 3: Cross multiply
    80,435x = 173,336 × 173,336
  4. Step 4: Simplify right side
    80,435x = 30,045,368,896
  5. Step 5: Solve for x
    x = 30,045,368,896/80,435
  6. Step 6: Final answer
    x = 373,536.01

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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.