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Finding the Third Proportional to 159,968.25 and 243,405

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Solution

The third proportional to 159,968.25 and 243,405 is: 370,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,968.25 : 243,405 = 243,405 : x
  2. Step 2: Convert to fraction form
    159,968.25/243,405 = 243,405/x
  3. Step 3: Cross multiply
    159,968.25x = 243,405 × 243,405
  4. Step 4: Simplify right side
    159,968.25x = 59,245,994,025
  5. Step 5: Solve for x
    x = 59,245,994,025/159,968.25
  6. Step 6: Final answer
    x = 370,360.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.