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Finding the Third Proportional to 164,212.88 and 247,494.38

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Solution

The third proportional to 164,212.88 and 247,494.38 is: 373,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,212.88 : 247,494.38 = 247,494.38 : x
  2. Step 2: Convert to fraction form
    164,212.88/247,494.38 = 247,494.38/x
  3. Step 3: Cross multiply
    164,212.88x = 247,494.38 × 247,494.38
  4. Step 4: Simplify right side
    164,212.88x = 61,253,465,656.64
  5. Step 5: Solve for x
    x = 61,253,465,656.64/164,212.88
  6. Step 6: Final answer
    x = 373,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.