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Finding the Third Proportional to 138,315 and 301,764.75

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Solution

The third proportional to 138,315 and 301,764.75 is: 658,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,315 : 301,764.75 = 301,764.75 : x
  2. Step 2: Convert to fraction form
    138,315/301,764.75 = 301,764.75/x
  3. Step 3: Cross multiply
    138,315x = 301,764.75 × 301,764.75
  4. Step 4: Simplify right side
    138,315x = 91,061,964,342.56
  5. Step 5: Solve for x
    x = 91,061,964,342.56/138,315
  6. Step 6: Final answer
    x = 658,366.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.