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Finding the Third Proportional to 231,475.50 and 350,115.75

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Solution

The third proportional to 231,475.50 and 350,115.75 is: 529,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,475.50 : 350,115.75 = 350,115.75 : x
  2. Step 2: Convert to fraction form
    231,475.50/350,115.75 = 350,115.75/x
  3. Step 3: Cross multiply
    231,475.50x = 350,115.75 × 350,115.75
  4. Step 4: Simplify right side
    231,475.50x = 122,581,038,398.06
  5. Step 5: Solve for x
    x = 122,581,038,398.06/231,475.50
  6. Step 6: Final answer
    x = 529,563.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.