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Finding the Third Proportional to 181,210 and 368,434

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Solution

The third proportional to 181,210 and 368,434 is: 749,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,210 : 368,434 = 368,434 : x
  2. Step 2: Convert to fraction form
    181,210/368,434 = 368,434/x
  3. Step 3: Cross multiply
    181,210x = 368,434 × 368,434
  4. Step 4: Simplify right side
    181,210x = 135,743,612,356
  5. Step 5: Solve for x
    x = 135,743,612,356/181,210
  6. Step 6: Final answer
    x = 749,095.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.