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Finding the Third Proportional to 117,076.50 and 276,281.50

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Solution

The third proportional to 117,076.50 and 276,281.50 is: 651,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,076.50 : 276,281.50 = 276,281.50 : x
  2. Step 2: Convert to fraction form
    117,076.50/276,281.50 = 276,281.50/x
  3. Step 3: Cross multiply
    117,076.50x = 276,281.50 × 276,281.50
  4. Step 4: Simplify right side
    117,076.50x = 76,331,467,242.25
  5. Step 5: Solve for x
    x = 76,331,467,242.25/117,076.50
  6. Step 6: Final answer
    x = 651,979.41

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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.