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Finding the Third Proportional to 114,715.88 and 214,617.75

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Solution

The third proportional to 114,715.88 and 214,617.75 is: 401,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,715.88 : 214,617.75 = 214,617.75 : x
  2. Step 2: Convert to fraction form
    114,715.88/214,617.75 = 214,617.75/x
  3. Step 3: Cross multiply
    114,715.88x = 214,617.75 × 214,617.75
  4. Step 4: Simplify right side
    114,715.88x = 46,060,778,615.06
  5. Step 5: Solve for x
    x = 46,060,778,615.06/114,715.88
  6. Step 6: Final answer
    x = 401,520.53

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.