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Finding the Third Proportional to 235,214 and 355,012

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Solution

The third proportional to 235,214 and 355,012 is: 535,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,214 : 355,012 = 355,012 : x
  2. Step 2: Convert to fraction form
    235,214/355,012 = 355,012/x
  3. Step 3: Cross multiply
    235,214x = 355,012 × 355,012
  4. Step 4: Simplify right side
    235,214x = 126,033,520,144
  5. Step 5: Solve for x
    x = 126,033,520,144/235,214
  6. Step 6: Final answer
    x = 535,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.