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Finding the Third Proportional to 176,431.50 and 382,020.75

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Solution

The third proportional to 176,431.50 and 382,020.75 is: 827,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,431.50 : 382,020.75 = 382,020.75 : x
  2. Step 2: Convert to fraction form
    176,431.50/382,020.75 = 382,020.75/x
  3. Step 3: Cross multiply
    176,431.50x = 382,020.75 × 382,020.75
  4. Step 4: Simplify right side
    176,431.50x = 145,939,853,430.56
  5. Step 5: Solve for x
    x = 145,939,853,430.56/176,431.50
  6. Step 6: Final answer
    x = 827,175.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.