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Finding the Third Proportional to 203,947.88 and 437,419.13

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Solution

The third proportional to 203,947.88 and 437,419.13 is: 938,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.88 : 437,419.13 = 437,419.13 : x
  2. Step 2: Convert to fraction form
    203,947.88/437,419.13 = 437,419.13/x
  3. Step 3: Cross multiply
    203,947.88x = 437,419.13 × 437,419.13
  4. Step 4: Simplify right side
    203,947.88x = 191,335,490,915.77
  5. Step 5: Solve for x
    x = 191,335,490,915.77/203,947.88
  6. Step 6: Final answer
    x = 938,158.79

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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.