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Finding the Third Proportional to 235,196 and 354,956

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Solution

The third proportional to 235,196 and 354,956 is: 535,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,196 : 354,956 = 354,956 : x
  2. Step 2: Convert to fraction form
    235,196/354,956 = 354,956/x
  3. Step 3: Cross multiply
    235,196x = 354,956 × 354,956
  4. Step 4: Simplify right side
    235,196x = 125,993,761,936
  5. Step 5: Solve for x
    x = 125,993,761,936/235,196
  6. Step 6: Final answer
    x = 535,696.87

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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.