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Finding the Third Proportional to 140,295 and 306,876

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Solution

The third proportional to 140,295 and 306,876 is: 671,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,295 : 306,876 = 306,876 : x
  2. Step 2: Convert to fraction form
    140,295/306,876 = 306,876/x
  3. Step 3: Cross multiply
    140,295x = 306,876 × 306,876
  4. Step 4: Simplify right side
    140,295x = 94,172,879,376
  5. Step 5: Solve for x
    x = 94,172,879,376/140,295
  6. Step 6: Final answer
    x = 671,249.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.