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Finding the Third Proportional to 258,149.25 and 362,889.75

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Solution

The third proportional to 258,149.25 and 362,889.75 is: 510,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,149.25 : 362,889.75 = 362,889.75 : x
  2. Step 2: Convert to fraction form
    258,149.25/362,889.75 = 362,889.75/x
  3. Step 3: Cross multiply
    258,149.25x = 362,889.75 × 362,889.75
  4. Step 4: Simplify right side
    258,149.25x = 131,688,970,655.06
  5. Step 5: Solve for x
    x = 131,688,970,655.06/258,149.25
  6. Step 6: Final answer
    x = 510,127.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.