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Finding the Third Proportional to 172,761.75 and 266,523.75

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Solution

The third proportional to 172,761.75 and 266,523.75 is: 411,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,761.75 : 266,523.75 = 266,523.75 : x
  2. Step 2: Convert to fraction form
    172,761.75/266,523.75 = 266,523.75/x
  3. Step 3: Cross multiply
    172,761.75x = 266,523.75 × 266,523.75
  4. Step 4: Simplify right side
    172,761.75x = 71,034,909,314.06
  5. Step 5: Solve for x
    x = 71,034,909,314.06/172,761.75
  6. Step 6: Final answer
    x = 411,172.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.