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Finding the Third Proportional to 168,210 and 367,380

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Solution

The third proportional to 168,210 and 367,380 is: 802,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,210 : 367,380 = 367,380 : x
  2. Step 2: Convert to fraction form
    168,210/367,380 = 367,380/x
  3. Step 3: Cross multiply
    168,210x = 367,380 × 367,380
  4. Step 4: Simplify right side
    168,210x = 134,968,064,400
  5. Step 5: Solve for x
    x = 134,968,064,400/168,210
  6. Step 6: Final answer
    x = 802,378.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.