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Finding the Third Proportional to 140,971 and 295,781

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Solution

The third proportional to 140,971 and 295,781 is: 620,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971 : 295,781 = 295,781 : x
  2. Step 2: Convert to fraction form
    140,971/295,781 = 295,781/x
  3. Step 3: Cross multiply
    140,971x = 295,781 × 295,781
  4. Step 4: Simplify right side
    140,971x = 87,486,399,961
  5. Step 5: Solve for x
    x = 87,486,399,961/140,971
  6. Step 6: Final answer
    x = 620,598.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.