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Finding the Third Proportional to 235,090.50 and 330,336

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Solution

The third proportional to 235,090.50 and 330,336 is: 464,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,090.50 : 330,336 = 330,336 : x
  2. Step 2: Convert to fraction form
    235,090.50/330,336 = 330,336/x
  3. Step 3: Cross multiply
    235,090.50x = 330,336 × 330,336
  4. Step 4: Simplify right side
    235,090.50x = 109,121,872,896
  5. Step 5: Solve for x
    x = 109,121,872,896/235,090.50
  6. Step 6: Final answer
    x = 464,169.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.