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Finding the Third Proportional to 150,539.25 and 220,156.50

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Solution

The third proportional to 150,539.25 and 220,156.50 is: 321,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.25 : 220,156.50 = 220,156.50 : x
  2. Step 2: Convert to fraction form
    150,539.25/220,156.50 = 220,156.50/x
  3. Step 3: Cross multiply
    150,539.25x = 220,156.50 × 220,156.50
  4. Step 4: Simplify right side
    150,539.25x = 48,468,884,492.25
  5. Step 5: Solve for x
    x = 48,468,884,492.25/150,539.25
  6. Step 6: Final answer
    x = 321,968.42

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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.