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Finding the Third Proportional to 76,350.65 and 164,407.30

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Solution

The third proportional to 76,350.65 and 164,407.30 is: 354,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,350.65 : 164,407.30 = 164,407.30 : x
  2. Step 2: Convert to fraction form
    76,350.65/164,407.30 = 164,407.30/x
  3. Step 3: Cross multiply
    76,350.65x = 164,407.30 × 164,407.30
  4. Step 4: Simplify right side
    76,350.65x = 27,029,759,586.85
  5. Step 5: Solve for x
    x = 27,029,759,586.85/76,350.65
  6. Step 6: Final answer
    x = 354,021.35

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