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Finding the Third Proportional to 254,837.75 and 404,856.75

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Solution

The third proportional to 254,837.75 and 404,856.75 is: 643,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,837.75 : 404,856.75 = 404,856.75 : x
  2. Step 2: Convert to fraction form
    254,837.75/404,856.75 = 404,856.75/x
  3. Step 3: Cross multiply
    254,837.75x = 404,856.75 × 404,856.75
  4. Step 4: Simplify right side
    254,837.75x = 163,908,988,020.56
  5. Step 5: Solve for x
    x = 163,908,988,020.56/254,837.75
  6. Step 6: Final answer
    x = 643,189.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.