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Finding the Third Proportional to 76,480.38 and 164,032.63

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Solution

The third proportional to 76,480.38 and 164,032.63 is: 351,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480.38 : 164,032.63 = 164,032.63 : x
  2. Step 2: Convert to fraction form
    76,480.38/164,032.63 = 164,032.63/x
  3. Step 3: Cross multiply
    76,480.38x = 164,032.63 × 164,032.63
  4. Step 4: Simplify right side
    76,480.38x = 26,906,702,064.39
  5. Step 5: Solve for x
    x = 26,906,702,064.39/76,480.38
  6. Step 6: Final answer
    x = 351,811.85

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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.