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Finding the Third Proportional to 162,384 and 350,616

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Solution

The third proportional to 162,384 and 350,616 is: 757,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,384 : 350,616 = 350,616 : x
  2. Step 2: Convert to fraction form
    162,384/350,616 = 350,616/x
  3. Step 3: Cross multiply
    162,384x = 350,616 × 350,616
  4. Step 4: Simplify right side
    162,384x = 122,931,579,456
  5. Step 5: Solve for x
    x = 122,931,579,456/162,384
  6. Step 6: Final answer
    x = 757,042.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.