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Finding the Third Proportional to 211,066.50 and 451,657.50

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Solution

The third proportional to 211,066.50 and 451,657.50 is: 966,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,066.50 : 451,657.50 = 451,657.50 : x
  2. Step 2: Convert to fraction form
    211,066.50/451,657.50 = 451,657.50/x
  3. Step 3: Cross multiply
    211,066.50x = 451,657.50 × 451,657.50
  4. Step 4: Simplify right side
    211,066.50x = 203,994,497,306.25
  5. Step 5: Solve for x
    x = 203,994,497,306.25/211,066.50
  6. Step 6: Final answer
    x = 966,493.96

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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.