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Finding the Third Proportional to 76,676.63 and 164,288.25

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Solution

The third proportional to 76,676.63 and 164,288.25 is: 352,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.63 : 164,288.25 = 164,288.25 : x
  2. Step 2: Convert to fraction form
    76,676.63/164,288.25 = 164,288.25/x
  3. Step 3: Cross multiply
    76,676.63x = 164,288.25 × 164,288.25
  4. Step 4: Simplify right side
    76,676.63x = 26,990,629,088.06
  5. Step 5: Solve for x
    x = 26,990,629,088.06/76,676.63
  6. Step 6: Final answer
    x = 352,005.96

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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.