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Finding the Third Proportional to 203,147 and 437,513

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Solution

The third proportional to 203,147 and 437,513 is: 942,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,147 : 437,513 = 437,513 : x
  2. Step 2: Convert to fraction form
    203,147/437,513 = 437,513/x
  3. Step 3: Cross multiply
    203,147x = 437,513 × 437,513
  4. Step 4: Simplify right side
    203,147x = 191,417,625,169
  5. Step 5: Solve for x
    x = 191,417,625,169/203,147
  6. Step 6: Final answer
    x = 942,261.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.