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Finding the Third Proportional to 201,662 and 297,881

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Solution

The third proportional to 201,662 and 297,881 is: 440,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662 : 297,881 = 297,881 : x
  2. Step 2: Convert to fraction form
    201,662/297,881 = 297,881/x
  3. Step 3: Cross multiply
    201,662x = 297,881 × 297,881
  4. Step 4: Simplify right side
    201,662x = 88,733,090,161
  5. Step 5: Solve for x
    x = 88,733,090,161/201,662
  6. Step 6: Final answer
    x = 440,008.98

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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.