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Finding the Third Proportional to 116,871.75 and 254,236.50

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Solution

The third proportional to 116,871.75 and 254,236.50 is: 553,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,871.75 : 254,236.50 = 254,236.50 : x
  2. Step 2: Convert to fraction form
    116,871.75/254,236.50 = 254,236.50/x
  3. Step 3: Cross multiply
    116,871.75x = 254,236.50 × 254,236.50
  4. Step 4: Simplify right side
    116,871.75x = 64,636,197,932.25
  5. Step 5: Solve for x
    x = 64,636,197,932.25/116,871.75
  6. Step 6: Final answer
    x = 553,052.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.