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Finding the Third Proportional to 232,967.50 and 318,797

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Solution

The third proportional to 232,967.50 and 318,797 is: 436,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,967.50 : 318,797 = 318,797 : x
  2. Step 2: Convert to fraction form
    232,967.50/318,797 = 318,797/x
  3. Step 3: Cross multiply
    232,967.50x = 318,797 × 318,797
  4. Step 4: Simplify right side
    232,967.50x = 101,631,527,209
  5. Step 5: Solve for x
    x = 101,631,527,209/232,967.50
  6. Step 6: Final answer
    x = 436,247.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.