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Finding the Third Proportional to 230,852 and 346,946

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Solution

The third proportional to 230,852 and 346,946 is: 521,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852 : 346,946 = 346,946 : x
  2. Step 2: Convert to fraction form
    230,852/346,946 = 346,946/x
  3. Step 3: Cross multiply
    230,852x = 346,946 × 346,946
  4. Step 4: Simplify right side
    230,852x = 120,371,526,916
  5. Step 5: Solve for x
    x = 120,371,526,916/230,852
  6. Step 6: Final answer
    x = 521,422.93

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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.