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Finding the Third Proportional to 246,096 and 379,530

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Solution

The third proportional to 246,096 and 379,530 is: 585,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,096 : 379,530 = 379,530 : x
  2. Step 2: Convert to fraction form
    246,096/379,530 = 379,530/x
  3. Step 3: Cross multiply
    246,096x = 379,530 × 379,530
  4. Step 4: Simplify right side
    246,096x = 144,043,020,900
  5. Step 5: Solve for x
    x = 144,043,020,900/246,096
  6. Step 6: Final answer
    x = 585,312.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.