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Finding the Third Proportional to 115,684.25 and 174,983.25

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Solution

The third proportional to 115,684.25 and 174,983.25 is: 264,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,684.25 : 174,983.25 = 174,983.25 : x
  2. Step 2: Convert to fraction form
    115,684.25/174,983.25 = 174,983.25/x
  3. Step 3: Cross multiply
    115,684.25x = 174,983.25 × 174,983.25
  4. Step 4: Simplify right side
    115,684.25x = 30,619,137,780.56
  5. Step 5: Solve for x
    x = 30,619,137,780.56/115,684.25
  6. Step 6: Final answer
    x = 264,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.