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Finding the Third Proportional to 162,992.25 and 243,546.75

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Solution

The third proportional to 162,992.25 and 243,546.75 is: 363,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,992.25 : 243,546.75 = 243,546.75 : x
  2. Step 2: Convert to fraction form
    162,992.25/243,546.75 = 243,546.75/x
  3. Step 3: Cross multiply
    162,992.25x = 243,546.75 × 243,546.75
  4. Step 4: Simplify right side
    162,992.25x = 59,315,019,435.56
  5. Step 5: Solve for x
    x = 59,315,019,435.56/162,992.25
  6. Step 6: Final answer
    x = 363,913.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.