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Finding the Third Proportional to 117,517.50 and 277,364.25

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Solution

The third proportional to 117,517.50 and 277,364.25 is: 654,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,517.50 : 277,364.25 = 277,364.25 : x
  2. Step 2: Convert to fraction form
    117,517.50/277,364.25 = 277,364.25/x
  3. Step 3: Cross multiply
    117,517.50x = 277,364.25 × 277,364.25
  4. Step 4: Simplify right side
    117,517.50x = 76,930,927,178.06
  5. Step 5: Solve for x
    x = 76,930,927,178.06/117,517.50
  6. Step 6: Final answer
    x = 654,633.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.