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Finding the Third Proportional to 230,868 and 346,970

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Solution

The third proportional to 230,868 and 346,970 is: 521,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,868 : 346,970 = 346,970 : x
  2. Step 2: Convert to fraction form
    230,868/346,970 = 346,970/x
  3. Step 3: Cross multiply
    230,868x = 346,970 × 346,970
  4. Step 4: Simplify right side
    230,868x = 120,388,180,900
  5. Step 5: Solve for x
    x = 120,388,180,900/230,868
  6. Step 6: Final answer
    x = 521,458.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.