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Finding the Third Proportional to 116,242.75 and 246,437

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Solution

The third proportional to 116,242.75 and 246,437 is: 522,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,242.75 : 246,437 = 246,437 : x
  2. Step 2: Convert to fraction form
    116,242.75/246,437 = 246,437/x
  3. Step 3: Cross multiply
    116,242.75x = 246,437 × 246,437
  4. Step 4: Simplify right side
    116,242.75x = 60,731,194,969
  5. Step 5: Solve for x
    x = 60,731,194,969/116,242.75
  6. Step 6: Final answer
    x = 522,451.46

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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.