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Finding the Third Proportional to 140,703 and 295,986

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Solution

The third proportional to 140,703 and 295,986 is: 622,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,703 : 295,986 = 295,986 : x
  2. Step 2: Convert to fraction form
    140,703/295,986 = 295,986/x
  3. Step 3: Cross multiply
    140,703x = 295,986 × 295,986
  4. Step 4: Simplify right side
    140,703x = 87,607,712,196
  5. Step 5: Solve for x
    x = 87,607,712,196/140,703
  6. Step 6: Final answer
    x = 622,642.82

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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.