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Finding the Third Proportional to 244,900 and 346,840

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Solution

The third proportional to 244,900 and 346,840 is: 491,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,900 : 346,840 = 346,840 : x
  2. Step 2: Convert to fraction form
    244,900/346,840 = 346,840/x
  3. Step 3: Cross multiply
    244,900x = 346,840 × 346,840
  4. Step 4: Simplify right side
    244,900x = 120,297,985,600
  5. Step 5: Solve for x
    x = 120,297,985,600/244,900
  6. Step 6: Final answer
    x = 491,212.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.