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Finding the Third Proportional to 162,783 and 352,731.38

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Solution

The third proportional to 162,783 and 352,731.38 is: 764,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783 : 352,731.38 = 352,731.38 : x
  2. Step 2: Convert to fraction form
    162,783/352,731.38 = 352,731.38/x
  3. Step 3: Cross multiply
    162,783x = 352,731.38 × 352,731.38
  4. Step 4: Simplify right side
    162,783x = 124,419,422,909.39
  5. Step 5: Solve for x
    x = 124,419,422,909.39/162,783
  6. Step 6: Final answer
    x = 764,326.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.