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Finding the Third Proportional to 77,683 and 168,326

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Solution

The third proportional to 77,683 and 168,326 is: 364,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,683 : 168,326 = 168,326 : x
  2. Step 2: Convert to fraction form
    77,683/168,326 = 168,326/x
  3. Step 3: Cross multiply
    77,683x = 168,326 × 168,326
  4. Step 4: Simplify right side
    77,683x = 28,333,642,276
  5. Step 5: Solve for x
    x = 28,333,642,276/77,683
  6. Step 6: Final answer
    x = 364,734.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.