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Finding the Third Proportional to 117,026 and 228,148

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Solution

The third proportional to 117,026 and 228,148 is: 444,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,026 : 228,148 = 228,148 : x
  2. Step 2: Convert to fraction form
    117,026/228,148 = 228,148/x
  3. Step 3: Cross multiply
    117,026x = 228,148 × 228,148
  4. Step 4: Simplify right side
    117,026x = 52,051,509,904
  5. Step 5: Solve for x
    x = 52,051,509,904/117,026
  6. Step 6: Final answer
    x = 444,785.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.