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Finding the Third Proportional to 236,146.50 and 507,280.50

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Solution

The third proportional to 236,146.50 and 507,280.50 is: 1,089,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,146.50 : 507,280.50 = 507,280.50 : x
  2. Step 2: Convert to fraction form
    236,146.50/507,280.50 = 507,280.50/x
  3. Step 3: Cross multiply
    236,146.50x = 507,280.50 × 507,280.50
  4. Step 4: Simplify right side
    236,146.50x = 257,333,505,680.25
  5. Step 5: Solve for x
    x = 257,333,505,680.25/236,146.50
  6. Step 6: Final answer
    x = 1,089,719.75

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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.