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Finding the Third Proportional to 301,005 and 365,611.50

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Solution

The third proportional to 301,005 and 365,611.50 is: 444,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,005 : 365,611.50 = 365,611.50 : x
  2. Step 2: Convert to fraction form
    301,005/365,611.50 = 365,611.50/x
  3. Step 3: Cross multiply
    301,005x = 365,611.50 × 365,611.50
  4. Step 4: Simplify right side
    301,005x = 133,671,768,932.25
  5. Step 5: Solve for x
    x = 133,671,768,932.25/301,005
  6. Step 6: Final answer
    x = 444,084.88

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.