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Finding the Third Proportional to 140,972 and 303,950

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Solution

The third proportional to 140,972 and 303,950 is: 655,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,972 : 303,950 = 303,950 : x
  2. Step 2: Convert to fraction form
    140,972/303,950 = 303,950/x
  3. Step 3: Cross multiply
    140,972x = 303,950 × 303,950
  4. Step 4: Simplify right side
    140,972x = 92,385,602,500
  5. Step 5: Solve for x
    x = 92,385,602,500/140,972
  6. Step 6: Final answer
    x = 655,347.18

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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.