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Finding the Third Proportional to 114,508 and 168,446

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Solution

The third proportional to 114,508 and 168,446 is: 247,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,508 : 168,446 = 168,446 : x
  2. Step 2: Convert to fraction form
    114,508/168,446 = 168,446/x
  3. Step 3: Cross multiply
    114,508x = 168,446 × 168,446
  4. Step 4: Simplify right side
    114,508x = 28,374,054,916
  5. Step 5: Solve for x
    x = 28,374,054,916/114,508
  6. Step 6: Final answer
    x = 247,791.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.