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Finding the Third Proportional to 234,722.81 and 353,185.31

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Solution

The third proportional to 234,722.81 and 353,185.31 is: 531,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,722.81 : 353,185.31 = 353,185.31 : x
  2. Step 2: Convert to fraction form
    234,722.81/353,185.31 = 353,185.31/x
  3. Step 3: Cross multiply
    234,722.81x = 353,185.31 × 353,185.31
  4. Step 4: Simplify right side
    234,722.81x = 124,739,864,965.72
  5. Step 5: Solve for x
    x = 124,739,864,965.72/234,722.81
  6. Step 6: Final answer
    x = 531,434.77

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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.