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Finding the Third Proportional to 114,504 and 168,317

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Solution

The third proportional to 114,504 and 168,317 is: 247,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,504 : 168,317 = 168,317 : x
  2. Step 2: Convert to fraction form
    114,504/168,317 = 168,317/x
  3. Step 3: Cross multiply
    114,504x = 168,317 × 168,317
  4. Step 4: Simplify right side
    114,504x = 28,330,612,489
  5. Step 5: Solve for x
    x = 28,330,612,489/114,504
  6. Step 6: Final answer
    x = 247,420.29

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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.