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Finding the Third Proportional to 235,144 and 354,836

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Solution

The third proportional to 235,144 and 354,836 is: 535,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,144 : 354,836 = 354,836 : x
  2. Step 2: Convert to fraction form
    235,144/354,836 = 354,836/x
  3. Step 3: Cross multiply
    235,144x = 354,836 × 354,836
  4. Step 4: Simplify right side
    235,144x = 125,908,586,896
  5. Step 5: Solve for x
    x = 125,908,586,896/235,144
  6. Step 6: Final answer
    x = 535,453.11

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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.