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Finding the Third Proportional to 168,603 and 363,342

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Solution

The third proportional to 168,603 and 363,342 is: 783,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,603 : 363,342 = 363,342 : x
  2. Step 2: Convert to fraction form
    168,603/363,342 = 363,342/x
  3. Step 3: Cross multiply
    168,603x = 363,342 × 363,342
  4. Step 4: Simplify right side
    168,603x = 132,017,408,964
  5. Step 5: Solve for x
    x = 132,017,408,964/168,603
  6. Step 6: Final answer
    x = 783,007.47

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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.