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Finding the Third Proportional to 235,124 and 342,620

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Solution

The third proportional to 235,124 and 342,620 is: 499,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,124 : 342,620 = 342,620 : x
  2. Step 2: Convert to fraction form
    235,124/342,620 = 342,620/x
  3. Step 3: Cross multiply
    235,124x = 342,620 × 342,620
  4. Step 4: Simplify right side
    235,124x = 117,388,464,400
  5. Step 5: Solve for x
    x = 117,388,464,400/235,124
  6. Step 6: Final answer
    x = 499,261.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.