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Finding the Third Proportional to 203,980.50 and 286,740

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Solution

The third proportional to 203,980.50 and 286,740 is: 403,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,980.50 : 286,740 = 286,740 : x
  2. Step 2: Convert to fraction form
    203,980.50/286,740 = 286,740/x
  3. Step 3: Cross multiply
    203,980.50x = 286,740 × 286,740
  4. Step 4: Simplify right side
    203,980.50x = 82,219,827,600
  5. Step 5: Solve for x
    x = 82,219,827,600/203,980.50
  6. Step 6: Final answer
    x = 403,076.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.