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Finding the Third Proportional to 140,982 and 295,804

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Solution

The third proportional to 140,982 and 295,804 is: 620,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,982 : 295,804 = 295,804 : x
  2. Step 2: Convert to fraction form
    140,982/295,804 = 295,804/x
  3. Step 3: Cross multiply
    140,982x = 295,804 × 295,804
  4. Step 4: Simplify right side
    140,982x = 87,500,006,416
  5. Step 5: Solve for x
    x = 87,500,006,416/140,982
  6. Step 6: Final answer
    x = 620,646.65

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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.