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Finding the Third Proportional to 133,494 and 186,633

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Solution

The third proportional to 133,494 and 186,633 is: 260,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494 : 186,633 = 186,633 : x
  2. Step 2: Convert to fraction form
    133,494/186,633 = 186,633/x
  3. Step 3: Cross multiply
    133,494x = 186,633 × 186,633
  4. Step 4: Simplify right side
    133,494x = 34,831,876,689
  5. Step 5: Solve for x
    x = 34,831,876,689/133,494
  6. Step 6: Final answer
    x = 260,924.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.