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Finding the Third Proportional to 117,094.50 and 276,326.44

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Solution

The third proportional to 117,094.50 and 276,326.44 is: 652,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,094.50 : 276,326.44 = 276,326.44 : x
  2. Step 2: Convert to fraction form
    117,094.50/276,326.44 = 276,326.44/x
  3. Step 3: Cross multiply
    117,094.50x = 276,326.44 × 276,326.44
  4. Step 4: Simplify right side
    117,094.50x = 76,356,300,061.44
  5. Step 5: Solve for x
    x = 76,356,300,061.44/117,094.50
  6. Step 6: Final answer
    x = 652,091.26

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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.