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Finding the Third Proportional to 203,732.72 and 445,327.88

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Solution

The third proportional to 203,732.72 and 445,327.88 is: 973,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,732.72 : 445,327.88 = 445,327.88 : x
  2. Step 2: Convert to fraction form
    203,732.72/445,327.88 = 445,327.88/x
  3. Step 3: Cross multiply
    203,732.72x = 445,327.88 × 445,327.88
  4. Step 4: Simplify right side
    203,732.72x = 198,316,916,252.02
  5. Step 5: Solve for x
    x = 198,316,916,252.02/203,732.72
  6. Step 6: Final answer
    x = 973,417.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.