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Finding the Third Proportional to 236,135.25 and 507,262.50

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Solution

The third proportional to 236,135.25 and 507,262.50 is: 1,089,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,135.25 : 507,262.50 = 507,262.50 : x
  2. Step 2: Convert to fraction form
    236,135.25/507,262.50 = 507,262.50/x
  3. Step 3: Cross multiply
    236,135.25x = 507,262.50 × 507,262.50
  4. Step 4: Simplify right side
    236,135.25x = 257,315,243,906.25
  5. Step 5: Solve for x
    x = 257,315,243,906.25/236,135.25
  6. Step 6: Final answer
    x = 1,089,694.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.