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Finding the Third Proportional to 281,007.56 and 417,167.44

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Solution

The third proportional to 281,007.56 and 417,167.44 is: 619,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,007.56 : 417,167.44 = 417,167.44 : x
  2. Step 2: Convert to fraction form
    281,007.56/417,167.44 = 417,167.44/x
  3. Step 3: Cross multiply
    281,007.56x = 417,167.44 × 417,167.44
  4. Step 4: Simplify right side
    281,007.56x = 174,028,670,910.32
  5. Step 5: Solve for x
    x = 174,028,670,910.32/281,007.56
  6. Step 6: Final answer
    x = 619,302.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.