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Finding the Third Proportional to 236,300.25 and 518,527.75

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Solution

The third proportional to 236,300.25 and 518,527.75 is: 1,137,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,300.25 : 518,527.75 = 518,527.75 : x
  2. Step 2: Convert to fraction form
    236,300.25/518,527.75 = 518,527.75/x
  3. Step 3: Cross multiply
    236,300.25x = 518,527.75 × 518,527.75
  4. Step 4: Simplify right side
    236,300.25x = 268,871,027,520.06
  5. Step 5: Solve for x
    x = 268,871,027,520.06/236,300.25
  6. Step 6: Final answer
    x = 1,137,836.41

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Why These Related Problems?

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