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Finding the Third Proportional to 233,892.75 and 492,236.25

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Solution

The third proportional to 233,892.75 and 492,236.25 is: 1,035,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892.75 : 492,236.25 = 492,236.25 : x
  2. Step 2: Convert to fraction form
    233,892.75/492,236.25 = 492,236.25/x
  3. Step 3: Cross multiply
    233,892.75x = 492,236.25 × 492,236.25
  4. Step 4: Simplify right side
    233,892.75x = 242,296,525,814.06
  5. Step 5: Solve for x
    x = 242,296,525,814.06/233,892.75
  6. Step 6: Final answer
    x = 1,035,930.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.