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Finding the Third Proportional to 140,583 and 303,650

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Solution

The third proportional to 140,583 and 303,650 is: 655,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,583 : 303,650 = 303,650 : x
  2. Step 2: Convert to fraction form
    140,583/303,650 = 303,650/x
  3. Step 3: Cross multiply
    140,583x = 303,650 × 303,650
  4. Step 4: Simplify right side
    140,583x = 92,203,322,500
  5. Step 5: Solve for x
    x = 92,203,322,500/140,583
  6. Step 6: Final answer
    x = 655,863.96

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Why These Related Problems?

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