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Finding the Third Proportional to 137,814 and 284,484

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Solution

The third proportional to 137,814 and 284,484 is: 587,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,814 : 284,484 = 284,484 : x
  2. Step 2: Convert to fraction form
    137,814/284,484 = 284,484/x
  3. Step 3: Cross multiply
    137,814x = 284,484 × 284,484
  4. Step 4: Simplify right side
    137,814x = 80,931,146,256
  5. Step 5: Solve for x
    x = 80,931,146,256/137,814
  6. Step 6: Final answer
    x = 587,249.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.