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Finding the Third Proportional to 76,478.25 and 164,028.38

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Solution

The third proportional to 76,478.25 and 164,028.38 is: 351,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.25 : 164,028.38 = 164,028.38 : x
  2. Step 2: Convert to fraction form
    76,478.25/164,028.38 = 164,028.38/x
  3. Step 3: Cross multiply
    76,478.25x = 164,028.38 × 164,028.38
  4. Step 4: Simplify right side
    76,478.25x = 26,905,307,805.14
  5. Step 5: Solve for x
    x = 26,905,307,805.14/76,478.25
  6. Step 6: Final answer
    x = 351,803.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.