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Finding the Third Proportional to 116,204.63 and 246,361.50

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Solution

The third proportional to 116,204.63 and 246,361.50 is: 522,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204.63 : 246,361.50 = 246,361.50 : x
  2. Step 2: Convert to fraction form
    116,204.63/246,361.50 = 246,361.50/x
  3. Step 3: Cross multiply
    116,204.63x = 246,361.50 × 246,361.50
  4. Step 4: Simplify right side
    116,204.63x = 60,693,988,682.25
  5. Step 5: Solve for x
    x = 60,693,988,682.25/116,204.63
  6. Step 6: Final answer
    x = 522,302.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.