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Finding the Third Proportional to 201,667 and 254,859

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Solution

The third proportional to 201,667 and 254,859 is: 322,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,667 : 254,859 = 254,859 : x
  2. Step 2: Convert to fraction form
    201,667/254,859 = 254,859/x
  3. Step 3: Cross multiply
    201,667x = 254,859 × 254,859
  4. Step 4: Simplify right side
    201,667x = 64,953,109,881
  5. Step 5: Solve for x
    x = 64,953,109,881/201,667
  6. Step 6: Final answer
    x = 322,081.00

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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.