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Finding the Third Proportional to 226,327.50 and 340,058.25

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Solution

The third proportional to 226,327.50 and 340,058.25 is: 510,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,327.50 : 340,058.25 = 340,058.25 : x
  2. Step 2: Convert to fraction form
    226,327.50/340,058.25 = 340,058.25/x
  3. Step 3: Cross multiply
    226,327.50x = 340,058.25 × 340,058.25
  4. Step 4: Simplify right side
    226,327.50x = 115,639,613,393.06
  5. Step 5: Solve for x
    x = 115,639,613,393.06/226,327.50
  6. Step 6: Final answer
    x = 510,939.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.