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Finding the Third Proportional to 155,953 and 227,611.50

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Solution

The third proportional to 155,953 and 227,611.50 is: 332,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,953 : 227,611.50 = 227,611.50 : x
  2. Step 2: Convert to fraction form
    155,953/227,611.50 = 227,611.50/x
  3. Step 3: Cross multiply
    155,953x = 227,611.50 × 227,611.50
  4. Step 4: Simplify right side
    155,953x = 51,806,994,932.25
  5. Step 5: Solve for x
    x = 51,806,994,932.25/155,953
  6. Step 6: Final answer
    x = 332,196.21

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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.