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Finding the Third Proportional to 116,010.75 and 245,748.75

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Solution

The third proportional to 116,010.75 and 245,748.75 is: 520,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,010.75 : 245,748.75 = 245,748.75 : x
  2. Step 2: Convert to fraction form
    116,010.75/245,748.75 = 245,748.75/x
  3. Step 3: Cross multiply
    116,010.75x = 245,748.75 × 245,748.75
  4. Step 4: Simplify right side
    116,010.75x = 60,392,448,126.56
  5. Step 5: Solve for x
    x = 60,392,448,126.56/116,010.75
  6. Step 6: Final answer
    x = 520,576.31

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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.