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Finding the Third Proportional to 236,895.75 and 518,080.50

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Solution

The third proportional to 236,895.75 and 518,080.50 is: 1,133,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,895.75 : 518,080.50 = 518,080.50 : x
  2. Step 2: Convert to fraction form
    236,895.75/518,080.50 = 518,080.50/x
  3. Step 3: Cross multiply
    236,895.75x = 518,080.50 × 518,080.50
  4. Step 4: Simplify right side
    236,895.75x = 268,407,404,480.25
  5. Step 5: Solve for x
    x = 268,407,404,480.25/236,895.75
  6. Step 6: Final answer
    x = 1,133,019.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.