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Finding the Third Proportional to 117,652.50 and 241,559.72

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Solution

The third proportional to 117,652.50 and 241,559.72 is: 495,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,652.50 : 241,559.72 = 241,559.72 : x
  2. Step 2: Convert to fraction form
    117,652.50/241,559.72 = 241,559.72/x
  3. Step 3: Cross multiply
    117,652.50x = 241,559.72 × 241,559.72
  4. Step 4: Simplify right side
    117,652.50x = 58,351,097,722.58
  5. Step 5: Solve for x
    x = 58,351,097,722.58/117,652.50
  6. Step 6: Final answer
    x = 495,961.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.