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Finding the Third Proportional to 273,164 and 428,515

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Solution

The third proportional to 273,164 and 428,515 is: 672,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,164 : 428,515 = 428,515 : x
  2. Step 2: Convert to fraction form
    273,164/428,515 = 428,515/x
  3. Step 3: Cross multiply
    273,164x = 428,515 × 428,515
  4. Step 4: Simplify right side
    273,164x = 183,625,105,225
  5. Step 5: Solve for x
    x = 183,625,105,225/273,164
  6. Step 6: Final answer
    x = 672,215.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.