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Finding the Third Proportional to 166,338 and 359,988

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Solution

The third proportional to 166,338 and 359,988 is: 779,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,338 : 359,988 = 359,988 : x
  2. Step 2: Convert to fraction form
    166,338/359,988 = 359,988/x
  3. Step 3: Cross multiply
    166,338x = 359,988 × 359,988
  4. Step 4: Simplify right side
    166,338x = 129,591,360,144
  5. Step 5: Solve for x
    x = 129,591,360,144/166,338
  6. Step 6: Final answer
    x = 779,084.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.