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Finding the Third Proportional to 168,082 and 358,628

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Solution

The third proportional to 168,082 and 358,628 is: 765,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,082 : 358,628 = 358,628 : x
  2. Step 2: Convert to fraction form
    168,082/358,628 = 358,628/x
  3. Step 3: Cross multiply
    168,082x = 358,628 × 358,628
  4. Step 4: Simplify right side
    168,082x = 128,614,042,384
  5. Step 5: Solve for x
    x = 128,614,042,384/168,082
  6. Step 6: Final answer
    x = 765,186.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.