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Finding the Third Proportional to 166,840 and 363,056

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Solution

The third proportional to 166,840 and 363,056 is: 790,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,840 : 363,056 = 363,056 : x
  2. Step 2: Convert to fraction form
    166,840/363,056 = 363,056/x
  3. Step 3: Cross multiply
    166,840x = 363,056 × 363,056
  4. Step 4: Simplify right side
    166,840x = 131,809,659,136
  5. Step 5: Solve for x
    x = 131,809,659,136/166,840
  6. Step 6: Final answer
    x = 790,036.32

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Why These Related Problems?

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