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Finding the Third Proportional to 117,008 and 276,117

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Solution

The third proportional to 117,008 and 276,117 is: 651,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,008 : 276,117 = 276,117 : x
  2. Step 2: Convert to fraction form
    117,008/276,117 = 276,117/x
  3. Step 3: Cross multiply
    117,008x = 276,117 × 276,117
  4. Step 4: Simplify right side
    117,008x = 76,240,597,689
  5. Step 5: Solve for x
    x = 76,240,597,689/117,008
  6. Step 6: Final answer
    x = 651,584.49

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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.