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Finding the Third Proportional to 246,420 and 371,016

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Solution

The third proportional to 246,420 and 371,016 is: 558,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,420 : 371,016 = 371,016 : x
  2. Step 2: Convert to fraction form
    246,420/371,016 = 371,016/x
  3. Step 3: Cross multiply
    246,420x = 371,016 × 371,016
  4. Step 4: Simplify right side
    246,420x = 137,652,872,256
  5. Step 5: Solve for x
    x = 137,652,872,256/246,420
  6. Step 6: Final answer
    x = 558,610.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.