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Finding the Third Proportional to 236,140.31 and 509,591.25

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Solution

The third proportional to 236,140.31 and 509,591.25 is: 1,099,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,140.31 : 509,591.25 = 509,591.25 : x
  2. Step 2: Convert to fraction form
    236,140.31/509,591.25 = 509,591.25/x
  3. Step 3: Cross multiply
    236,140.31x = 509,591.25 × 509,591.25
  4. Step 4: Simplify right side
    236,140.31x = 259,683,242,076.56
  5. Step 5: Solve for x
    x = 259,683,242,076.56/236,140.31
  6. Step 6: Final answer
    x = 1,099,698.90

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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.