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Finding the Third Proportional to 176,265.75 and 387,523.50

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Solution

The third proportional to 176,265.75 and 387,523.50 is: 851,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,265.75 : 387,523.50 = 387,523.50 : x
  2. Step 2: Convert to fraction form
    176,265.75/387,523.50 = 387,523.50/x
  3. Step 3: Cross multiply
    176,265.75x = 387,523.50 × 387,523.50
  4. Step 4: Simplify right side
    176,265.75x = 150,174,463,052.25
  5. Step 5: Solve for x
    x = 150,174,463,052.25/176,265.75
  6. Step 6: Final answer
    x = 851,977.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.