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Finding the Third Proportional to 133,853 and 248,554

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Solution

The third proportional to 133,853 and 248,554 is: 461,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853 : 248,554 = 248,554 : x
  2. Step 2: Convert to fraction form
    133,853/248,554 = 248,554/x
  3. Step 3: Cross multiply
    133,853x = 248,554 × 248,554
  4. Step 4: Simplify right side
    133,853x = 61,779,090,916
  5. Step 5: Solve for x
    x = 61,779,090,916/133,853
  6. Step 6: Final answer
    x = 461,544.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.