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Finding the Third Proportional to 149,583.11 and 229,910.51

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Solution

The third proportional to 149,583.11 and 229,910.51 is: 353,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,583.11 : 229,910.51 = 229,910.51 : x
  2. Step 2: Convert to fraction form
    149,583.11/229,910.51 = 229,910.51/x
  3. Step 3: Cross multiply
    149,583.11x = 229,910.51 × 229,910.51
  4. Step 4: Simplify right side
    149,583.11x = 52,858,842,949.74
  5. Step 5: Solve for x
    x = 52,858,842,949.74/149,583.11
  6. Step 6: Final answer
    x = 353,374.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.