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Finding the Third Proportional to 140,277 and 298,877

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Solution

The third proportional to 140,277 and 298,877 is: 636,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,277 : 298,877 = 298,877 : x
  2. Step 2: Convert to fraction form
    140,277/298,877 = 298,877/x
  3. Step 3: Cross multiply
    140,277x = 298,877 × 298,877
  4. Step 4: Simplify right side
    140,277x = 89,327,461,129
  5. Step 5: Solve for x
    x = 89,327,461,129/140,277
  6. Step 6: Final answer
    x = 636,793.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.