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Finding the Third Proportional to 168,993 and 358,722

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Solution

The third proportional to 168,993 and 358,722 is: 761,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,993 : 358,722 = 358,722 : x
  2. Step 2: Convert to fraction form
    168,993/358,722 = 358,722/x
  3. Step 3: Cross multiply
    168,993x = 358,722 × 358,722
  4. Step 4: Simplify right side
    168,993x = 128,681,473,284
  5. Step 5: Solve for x
    x = 128,681,473,284/168,993
  6. Step 6: Final answer
    x = 761,460.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.