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Finding the Third Proportional to 201,171 and 297,046.50

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Solution

The third proportional to 201,171 and 297,046.50 is: 438,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,171 : 297,046.50 = 297,046.50 : x
  2. Step 2: Convert to fraction form
    201,171/297,046.50 = 297,046.50/x
  3. Step 3: Cross multiply
    201,171x = 297,046.50 × 297,046.50
  4. Step 4: Simplify right side
    201,171x = 88,236,623,162.25
  5. Step 5: Solve for x
    x = 88,236,623,162.25/201,171
  6. Step 6: Final answer
    x = 438,615.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.