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Finding the Third Proportional to 139,633 and 301,403

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Solution

The third proportional to 139,633 and 301,403 is: 650,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,633 : 301,403 = 301,403 : x
  2. Step 2: Convert to fraction form
    139,633/301,403 = 301,403/x
  3. Step 3: Cross multiply
    139,633x = 301,403 × 301,403
  4. Step 4: Simplify right side
    139,633x = 90,843,768,409
  5. Step 5: Solve for x
    x = 90,843,768,409/139,633
  6. Step 6: Final answer
    x = 650,589.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.