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Finding the Third Proportional to 246,045.50 and 401,766

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Solution

The third proportional to 246,045.50 and 401,766 is: 656,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,045.50 : 401,766 = 401,766 : x
  2. Step 2: Convert to fraction form
    246,045.50/401,766 = 401,766/x
  3. Step 3: Cross multiply
    246,045.50x = 401,766 × 401,766
  4. Step 4: Simplify right side
    246,045.50x = 161,415,918,756
  5. Step 5: Solve for x
    x = 161,415,918,756/246,045.50
  6. Step 6: Final answer
    x = 656,040.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.