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Finding the Third Proportional to 236,999.25 and 507,213.75

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Solution

The third proportional to 236,999.25 and 507,213.75 is: 1,085,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,999.25 : 507,213.75 = 507,213.75 : x
  2. Step 2: Convert to fraction form
    236,999.25/507,213.75 = 507,213.75/x
  3. Step 3: Cross multiply
    236,999.25x = 507,213.75 × 507,213.75
  4. Step 4: Simplify right side
    236,999.25x = 257,265,788,189.06
  5. Step 5: Solve for x
    x = 257,265,788,189.06/236,999.25
  6. Step 6: Final answer
    x = 1,085,513.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.