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Finding the Third Proportional to 182,692 and 286,660

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Solution

The third proportional to 182,692 and 286,660 is: 449,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,692 : 286,660 = 286,660 : x
  2. Step 2: Convert to fraction form
    182,692/286,660 = 286,660/x
  3. Step 3: Cross multiply
    182,692x = 286,660 × 286,660
  4. Step 4: Simplify right side
    182,692x = 82,173,955,600
  5. Step 5: Solve for x
    x = 82,173,955,600/182,692
  6. Step 6: Final answer
    x = 449,795.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.