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Finding the Third Proportional to 162,832 and 355,040

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Solution

The third proportional to 162,832 and 355,040 is: 774,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,832 : 355,040 = 355,040 : x
  2. Step 2: Convert to fraction form
    162,832/355,040 = 355,040/x
  3. Step 3: Cross multiply
    162,832x = 355,040 × 355,040
  4. Step 4: Simplify right side
    162,832x = 126,053,401,600
  5. Step 5: Solve for x
    x = 126,053,401,600/162,832
  6. Step 6: Final answer
    x = 774,131.63

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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.