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Finding the Third Proportional to 117,044 and 228,248

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Solution

The third proportional to 117,044 and 228,248 is: 445,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,044 : 228,248 = 228,248 : x
  2. Step 2: Convert to fraction form
    117,044/228,248 = 228,248/x
  3. Step 3: Cross multiply
    117,044x = 228,248 × 228,248
  4. Step 4: Simplify right side
    117,044x = 52,097,149,504
  5. Step 5: Solve for x
    x = 52,097,149,504/117,044
  6. Step 6: Final answer
    x = 445,107.39

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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.