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Finding the Third Proportional to 207,703.50 and 451,857

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Solution

The third proportional to 207,703.50 and 451,857 is: 983,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,703.50 : 451,857 = 451,857 : x
  2. Step 2: Convert to fraction form
    207,703.50/451,857 = 451,857/x
  3. Step 3: Cross multiply
    207,703.50x = 451,857 × 451,857
  4. Step 4: Simplify right side
    207,703.50x = 204,174,748,449
  5. Step 5: Solve for x
    x = 204,174,748,449/207,703.50
  6. Step 6: Final answer
    x = 983,010.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.