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Finding the Third Proportional to 133,058.25 and 299,427.75

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Solution

The third proportional to 133,058.25 and 299,427.75 is: 673,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058.25 : 299,427.75 = 299,427.75 : x
  2. Step 2: Convert to fraction form
    133,058.25/299,427.75 = 299,427.75/x
  3. Step 3: Cross multiply
    133,058.25x = 299,427.75 × 299,427.75
  4. Step 4: Simplify right side
    133,058.25x = 89,656,977,470.06
  5. Step 5: Solve for x
    x = 89,656,977,470.06/133,058.25
  6. Step 6: Final answer
    x = 673,817.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.