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Finding the Third Proportional to 268,096.50 and 417,966.75

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Solution

The third proportional to 268,096.50 and 417,966.75 is: 651,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,096.50 : 417,966.75 = 417,966.75 : x
  2. Step 2: Convert to fraction form
    268,096.50/417,966.75 = 417,966.75/x
  3. Step 3: Cross multiply
    268,096.50x = 417,966.75 × 417,966.75
  4. Step 4: Simplify right side
    268,096.50x = 174,696,204,105.56
  5. Step 5: Solve for x
    x = 174,696,204,105.56/268,096.50
  6. Step 6: Final answer
    x = 651,616.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.