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Finding the Third Proportional to 235,965 and 353,972.25

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Solution

The third proportional to 235,965 and 353,972.25 is: 530,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,965 : 353,972.25 = 353,972.25 : x
  2. Step 2: Convert to fraction form
    235,965/353,972.25 = 353,972.25/x
  3. Step 3: Cross multiply
    235,965x = 353,972.25 × 353,972.25
  4. Step 4: Simplify right side
    235,965x = 125,296,353,770.06
  5. Step 5: Solve for x
    x = 125,296,353,770.06/235,965
  6. Step 6: Final answer
    x = 530,995.50

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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.