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Finding the Third Proportional to 140,735.25 and 287,201.25

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Solution

The third proportional to 140,735.25 and 287,201.25 is: 586,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,735.25 : 287,201.25 = 287,201.25 : x
  2. Step 2: Convert to fraction form
    140,735.25/287,201.25 = 287,201.25/x
  3. Step 3: Cross multiply
    140,735.25x = 287,201.25 × 287,201.25
  4. Step 4: Simplify right side
    140,735.25x = 82,484,558,001.56
  5. Step 5: Solve for x
    x = 82,484,558,001.56/140,735.25
  6. Step 6: Final answer
    x = 586,097.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.