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Finding the Third Proportional to 232,969 and 318,798

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Solution

The third proportional to 232,969 and 318,798 is: 436,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969 : 318,798 = 318,798 : x
  2. Step 2: Convert to fraction form
    232,969/318,798 = 318,798/x
  3. Step 3: Cross multiply
    232,969x = 318,798 × 318,798
  4. Step 4: Simplify right side
    232,969x = 101,632,164,804
  5. Step 5: Solve for x
    x = 101,632,164,804/232,969
  6. Step 6: Final answer
    x = 436,247.59

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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.