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Finding the Third Proportional to 235,102.50 and 336,069

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Solution

The third proportional to 235,102.50 and 336,069 is: 480,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102.50 : 336,069 = 336,069 : x
  2. Step 2: Convert to fraction form
    235,102.50/336,069 = 336,069/x
  3. Step 3: Cross multiply
    235,102.50x = 336,069 × 336,069
  4. Step 4: Simplify right side
    235,102.50x = 112,942,372,761
  5. Step 5: Solve for x
    x = 112,942,372,761/235,102.50
  6. Step 6: Final answer
    x = 480,396.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.