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Finding the Third Proportional to 210,766 and 451,160

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Solution

The third proportional to 210,766 and 451,160 is: 965,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,766 : 451,160 = 451,160 : x
  2. Step 2: Convert to fraction form
    210,766/451,160 = 451,160/x
  3. Step 3: Cross multiply
    210,766x = 451,160 × 451,160
  4. Step 4: Simplify right side
    210,766x = 203,545,345,600
  5. Step 5: Solve for x
    x = 203,545,345,600/210,766
  6. Step 6: Final answer
    x = 965,740.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.