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Finding the Third Proportional to 246,222 and 385,695

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Solution

The third proportional to 246,222 and 385,695 is: 604,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,222 : 385,695 = 385,695 : x
  2. Step 2: Convert to fraction form
    246,222/385,695 = 385,695/x
  3. Step 3: Cross multiply
    246,222x = 385,695 × 385,695
  4. Step 4: Simplify right side
    246,222x = 148,760,633,025
  5. Step 5: Solve for x
    x = 148,760,633,025/246,222
  6. Step 6: Final answer
    x = 604,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.