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Finding the Third Proportional to 268,300 and 363,084

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Solution

The third proportional to 268,300 and 363,084 is: 491,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,300 : 363,084 = 363,084 : x
  2. Step 2: Convert to fraction form
    268,300/363,084 = 363,084/x
  3. Step 3: Cross multiply
    268,300x = 363,084 × 363,084
  4. Step 4: Simplify right side
    268,300x = 131,829,991,056
  5. Step 5: Solve for x
    x = 131,829,991,056/268,300
  6. Step 6: Final answer
    x = 491,352.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.