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Finding the Third Proportional to 201,663 and 254,853

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Solution

The third proportional to 201,663 and 254,853 is: 322,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663 : 254,853 = 254,853 : x
  2. Step 2: Convert to fraction form
    201,663/254,853 = 254,853/x
  3. Step 3: Cross multiply
    201,663x = 254,853 × 254,853
  4. Step 4: Simplify right side
    201,663x = 64,950,051,609
  5. Step 5: Solve for x
    x = 64,950,051,609/201,663
  6. Step 6: Final answer
    x = 322,072.23

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.