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Finding the Third Proportional to 175,506.75 and 264,500.44

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Solution

The third proportional to 175,506.75 and 264,500.44 is: 398,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,506.75 : 264,500.44 = 264,500.44 : x
  2. Step 2: Convert to fraction form
    175,506.75/264,500.44 = 264,500.44/x
  3. Step 3: Cross multiply
    175,506.75x = 264,500.44 × 264,500.44
  4. Step 4: Simplify right side
    175,506.75x = 69,960,481,437.69
  5. Step 5: Solve for x
    x = 69,960,481,437.69/175,506.75
  6. Step 6: Final answer
    x = 398,619.89

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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.