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Finding the Third Proportional to 121,394.25 and 247,607.25

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Solution

The third proportional to 121,394.25 and 247,607.25 is: 505,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,394.25 : 247,607.25 = 247,607.25 : x
  2. Step 2: Convert to fraction form
    121,394.25/247,607.25 = 247,607.25/x
  3. Step 3: Cross multiply
    121,394.25x = 247,607.25 × 247,607.25
  4. Step 4: Simplify right side
    121,394.25x = 61,309,350,252.56
  5. Step 5: Solve for x
    x = 61,309,350,252.56/121,394.25
  6. Step 6: Final answer
    x = 505,043.28

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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.