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Finding the Third Proportional to 140,682 and 303,560

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Solution

The third proportional to 140,682 and 303,560 is: 655,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,682 : 303,560 = 303,560 : x
  2. Step 2: Convert to fraction form
    140,682/303,560 = 303,560/x
  3. Step 3: Cross multiply
    140,682x = 303,560 × 303,560
  4. Step 4: Simplify right side
    140,682x = 92,148,673,600
  5. Step 5: Solve for x
    x = 92,148,673,600/140,682
  6. Step 6: Final answer
    x = 655,013.96

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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.