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Finding the Third Proportional to 210,404.25 and 433,194.75

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Solution

The third proportional to 210,404.25 and 433,194.75 is: 891,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404.25 : 433,194.75 = 433,194.75 : x
  2. Step 2: Convert to fraction form
    210,404.25/433,194.75 = 433,194.75/x
  3. Step 3: Cross multiply
    210,404.25x = 433,194.75 × 433,194.75
  4. Step 4: Simplify right side
    210,404.25x = 187,657,691,427.56
  5. Step 5: Solve for x
    x = 187,657,691,427.56/210,404.25
  6. Step 6: Final answer
    x = 891,891.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.