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Finding the Third Proportional to 76,364.30 and 167,752.83

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Solution

The third proportional to 76,364.30 and 167,752.83 is: 368,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364.30 : 167,752.83 = 167,752.83 : x
  2. Step 2: Convert to fraction form
    76,364.30/167,752.83 = 167,752.83/x
  3. Step 3: Cross multiply
    76,364.30x = 167,752.83 × 167,752.83
  4. Step 4: Simplify right side
    76,364.30x = 28,141,011,343.94
  5. Step 5: Solve for x
    x = 28,141,011,343.94/76,364.30
  6. Step 6: Final answer
    x = 368,510.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.