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Finding the Third Proportional to 268,089.75 and 393,113.25

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Solution

The third proportional to 268,089.75 and 393,113.25 is: 576,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,089.75 : 393,113.25 = 393,113.25 : x
  2. Step 2: Convert to fraction form
    268,089.75/393,113.25 = 393,113.25/x
  3. Step 3: Cross multiply
    268,089.75x = 393,113.25 × 393,113.25
  4. Step 4: Simplify right side
    268,089.75x = 154,538,027,325.56
  5. Step 5: Solve for x
    x = 154,538,027,325.56/268,089.75
  6. Step 6: Final answer
    x = 576,441.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.