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Finding the Third Proportional to 168,264 and 368,210

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Solution

The third proportional to 168,264 and 368,210 is: 805,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,264 : 368,210 = 368,210 : x
  2. Step 2: Convert to fraction form
    168,264/368,210 = 368,210/x
  3. Step 3: Cross multiply
    168,264x = 368,210 × 368,210
  4. Step 4: Simplify right side
    168,264x = 135,578,604,100
  5. Step 5: Solve for x
    x = 135,578,604,100/168,264
  6. Step 6: Final answer
    x = 805,749.32

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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.