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Finding the Third Proportional to 140,722 and 298,716

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Solution

The third proportional to 140,722 and 298,716 is: 634,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,722 : 298,716 = 298,716 : x
  2. Step 2: Convert to fraction form
    140,722/298,716 = 298,716/x
  3. Step 3: Cross multiply
    140,722x = 298,716 × 298,716
  4. Step 4: Simplify right side
    140,722x = 89,231,248,656
  5. Step 5: Solve for x
    x = 89,231,248,656/140,722
  6. Step 6: Final answer
    x = 634,095.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.