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Finding the Third Proportional to 114,731.44 and 247,885.31

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Solution

The third proportional to 114,731.44 and 247,885.31 is: 535,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,731.44 : 247,885.31 = 247,885.31 : x
  2. Step 2: Convert to fraction form
    114,731.44/247,885.31 = 247,885.31/x
  3. Step 3: Cross multiply
    114,731.44x = 247,885.31 × 247,885.31
  4. Step 4: Simplify right side
    114,731.44x = 61,447,128,153.22
  5. Step 5: Solve for x
    x = 61,447,128,153.22/114,731.44
  6. Step 6: Final answer
    x = 535,573.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.