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Finding the Third Proportional to 136,960.88 and 294,293.25

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Solution

The third proportional to 136,960.88 and 294,293.25 is: 632,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,960.88 : 294,293.25 = 294,293.25 : x
  2. Step 2: Convert to fraction form
    136,960.88/294,293.25 = 294,293.25/x
  3. Step 3: Cross multiply
    136,960.88x = 294,293.25 × 294,293.25
  4. Step 4: Simplify right side
    136,960.88x = 86,608,516,995.56
  5. Step 5: Solve for x
    x = 86,608,516,995.56/136,960.88
  6. Step 6: Final answer
    x = 632,359.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.