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Finding the Third Proportional to 210,441 and 447,165

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Solution

The third proportional to 210,441 and 447,165 is: 950,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,441 : 447,165 = 447,165 : x
  2. Step 2: Convert to fraction form
    210,441/447,165 = 447,165/x
  3. Step 3: Cross multiply
    210,441x = 447,165 × 447,165
  4. Step 4: Simplify right side
    210,441x = 199,956,537,225
  5. Step 5: Solve for x
    x = 199,956,537,225/210,441
  6. Step 6: Final answer
    x = 950,178.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.