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Finding the Third Proportional to 204,325.03 and 318,905.30

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Solution

The third proportional to 204,325.03 and 318,905.30 is: 497,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,325.03 : 318,905.30 = 318,905.30 : x
  2. Step 2: Convert to fraction form
    204,325.03/318,905.30 = 318,905.30/x
  3. Step 3: Cross multiply
    204,325.03x = 318,905.30 × 318,905.30
  4. Step 4: Simplify right side
    204,325.03x = 101,700,588,374.93
  5. Step 5: Solve for x
    x = 101,700,588,374.93/204,325.03
  6. Step 6: Final answer
    x = 497,739.25

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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.