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Finding the Third Proportional to 203,211.56 and 316,448.44

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Solution

The third proportional to 203,211.56 and 316,448.44 is: 492,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,211.56 : 316,448.44 = 316,448.44 : x
  2. Step 2: Convert to fraction form
    203,211.56/316,448.44 = 316,448.44/x
  3. Step 3: Cross multiply
    203,211.56x = 316,448.44 × 316,448.44
  4. Step 4: Simplify right side
    203,211.56x = 100,139,613,596.19
  5. Step 5: Solve for x
    x = 100,139,613,596.19/203,211.56
  6. Step 6: Final answer
    x = 492,785.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.