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Finding the Third Proportional to 117,324 and 276,674

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Solution

The third proportional to 117,324 and 276,674 is: 652,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,324 : 276,674 = 276,674 : x
  2. Step 2: Convert to fraction form
    117,324/276,674 = 276,674/x
  3. Step 3: Cross multiply
    117,324x = 276,674 × 276,674
  4. Step 4: Simplify right side
    117,324x = 76,548,502,276
  5. Step 5: Solve for x
    x = 76,548,502,276/117,324
  6. Step 6: Final answer
    x = 652,453.91

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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.